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Finding the Fourth Proportional to 1,426.17, 2,139.88 and 502.39

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Solution

The fourth proportional to 1,426.17, 2,139.88 and 502.39 is: 753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.17 : 2,139.88 = 502.39 : x
  2. Step 2: Convert to fraction form
    1,426.17/2,139.88 = 502.39/x
  3. Step 3: Cross multiply
    1,426.17x = 2,139.88 × 502.39
  4. Step 4: Simplify right side
    1,426.17x = 1,075,051.80
  5. Step 5: Solve for x
    x = 1,075,051.80/1,426.17
  6. Step 6: Final answer
    x = 753.80

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