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Finding the Fourth Proportional to 1,678.19, 2,316.06 and 970.06

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Solution

The fourth proportional to 1,678.19, 2,316.06 and 970.06 is: 1,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.19 : 2,316.06 = 970.06 : x
  2. Step 2: Convert to fraction form
    1,678.19/2,316.06 = 970.06/x
  3. Step 3: Cross multiply
    1,678.19x = 2,316.06 × 970.06
  4. Step 4: Simplify right side
    1,678.19x = 2,246,715.72
  5. Step 5: Solve for x
    x = 2,246,715.72/1,678.19
  6. Step 6: Final answer
    x = 1,338.78

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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.