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Finding the Fourth Proportional to 1,501.68, 2,071.28 and 1,377.75

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Solution

The fourth proportional to 1,501.68, 2,071.28 and 1,377.75 is: 1,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.68 : 2,071.28 = 1,377.75 : x
  2. Step 2: Convert to fraction form
    1,501.68/2,071.28 = 1,377.75/x
  3. Step 3: Cross multiply
    1,501.68x = 2,071.28 × 1,377.75
  4. Step 4: Simplify right side
    1,501.68x = 2,853,706.02
  5. Step 5: Solve for x
    x = 2,853,706.02/1,501.68
  6. Step 6: Final answer
    x = 1,900.34

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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.