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Finding the Fourth Proportional to 1,378.49, 1,902.36 and 1,316.22

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Solution

The fourth proportional to 1,378.49, 1,902.36 and 1,316.22 is: 1,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.49 : 1,902.36 = 1,316.22 : x
  2. Step 2: Convert to fraction form
    1,378.49/1,902.36 = 1,316.22/x
  3. Step 3: Cross multiply
    1,378.49x = 1,902.36 × 1,316.22
  4. Step 4: Simplify right side
    1,378.49x = 2,503,929.22
  5. Step 5: Solve for x
    x = 2,503,929.22/1,378.49
  6. Step 6: Final answer
    x = 1,816.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.