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Finding the Fourth Proportional to 2,937.48, 4,404.84 and 1,705.23

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Solution

The fourth proportional to 2,937.48, 4,404.84 and 1,705.23 is: 2,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.48 : 4,404.84 = 1,705.23 : x
  2. Step 2: Convert to fraction form
    2,937.48/4,404.84 = 1,705.23/x
  3. Step 3: Cross multiply
    2,937.48x = 4,404.84 × 1,705.23
  4. Step 4: Simplify right side
    2,937.48x = 7,511,265.31
  5. Step 5: Solve for x
    x = 7,511,265.31/2,937.48
  6. Step 6: Final answer
    x = 2,557.04

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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.