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Finding the Fourth Proportional to 1,562.09, 2,342.36 and 521.74

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Solution

The fourth proportional to 1,562.09, 2,342.36 and 521.74 is: 782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.09 : 2,342.36 = 521.74 : x
  2. Step 2: Convert to fraction form
    1,562.09/2,342.36 = 521.74/x
  3. Step 3: Cross multiply
    1,562.09x = 2,342.36 × 521.74
  4. Step 4: Simplify right side
    1,562.09x = 1,222,098.35
  5. Step 5: Solve for x
    x = 1,222,098.35/1,562.09
  6. Step 6: Final answer
    x = 782.35

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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.