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Finding the Fourth Proportional to 1,342.09, 2,012.90 and 354.91

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Solution

The fourth proportional to 1,342.09, 2,012.90 and 354.91 is: 532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.09 : 2,012.90 = 354.91 : x
  2. Step 2: Convert to fraction form
    1,342.09/2,012.90 = 354.91/x
  3. Step 3: Cross multiply
    1,342.09x = 2,012.90 × 354.91
  4. Step 4: Simplify right side
    1,342.09x = 714,397.19
  5. Step 5: Solve for x
    x = 714,397.19/1,342.09
  6. Step 6: Final answer
    x = 532.30

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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.