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Finding the Fourth Proportional to 1,913, 2,869.80 and 614.28

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Solution

The fourth proportional to 1,913, 2,869.80 and 614.28 is: 921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913 : 2,869.80 = 614.28 : x
  2. Step 2: Convert to fraction form
    1,913/2,869.80 = 614.28/x
  3. Step 3: Cross multiply
    1,913x = 2,869.80 × 614.28
  4. Step 4: Simplify right side
    1,913x = 1,762,860.74
  5. Step 5: Solve for x
    x = 1,762,860.74/1,913
  6. Step 6: Final answer
    x = 921.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.