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Finding the Fourth Proportional to 2,327.56, 3,490.48 and 1,404.16

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Solution

The fourth proportional to 2,327.56, 3,490.48 and 1,404.16 is: 2,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.56 : 3,490.48 = 1,404.16 : x
  2. Step 2: Convert to fraction form
    2,327.56/3,490.48 = 1,404.16/x
  3. Step 3: Cross multiply
    2,327.56x = 3,490.48 × 1,404.16
  4. Step 4: Simplify right side
    2,327.56x = 4,901,192.40
  5. Step 5: Solve for x
    x = 4,901,192.40/2,327.56
  6. Step 6: Final answer
    x = 2,105.72

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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.