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Finding the Fourth Proportional to 1,573.17, 2,349.71 and 1,424.71

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Solution

The fourth proportional to 1,573.17, 2,349.71 and 1,424.71 is: 2,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.17 : 2,349.71 = 1,424.71 : x
  2. Step 2: Convert to fraction form
    1,573.17/2,349.71 = 1,424.71/x
  3. Step 3: Cross multiply
    1,573.17x = 2,349.71 × 1,424.71
  4. Step 4: Simplify right side
    1,573.17x = 3,347,655.33
  5. Step 5: Solve for x
    x = 3,347,655.33/1,573.17
  6. Step 6: Final answer
    x = 2,127.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.