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Finding the Fourth Proportional to 2,347.91, 3,240.01 and 1,285.66

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Solution

The fourth proportional to 2,347.91, 3,240.01 and 1,285.66 is: 1,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.91 : 3,240.01 = 1,285.66 : x
  2. Step 2: Convert to fraction form
    2,347.91/3,240.01 = 1,285.66/x
  3. Step 3: Cross multiply
    2,347.91x = 3,240.01 × 1,285.66
  4. Step 4: Simplify right side
    2,347.91x = 4,165,551.26
  5. Step 5: Solve for x
    x = 4,165,551.26/2,347.91
  6. Step 6: Final answer
    x = 1,774.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.