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Finding the Fourth Proportional to 2,374.55, 3,562.09 and 1,456.01

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Solution

The fourth proportional to 2,374.55, 3,562.09 and 1,456.01 is: 2,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.55 : 3,562.09 = 1,456.01 : x
  2. Step 2: Convert to fraction form
    2,374.55/3,562.09 = 1,456.01/x
  3. Step 3: Cross multiply
    2,374.55x = 3,562.09 × 1,456.01
  4. Step 4: Simplify right side
    2,374.55x = 5,186,438.66
  5. Step 5: Solve for x
    x = 5,186,438.66/2,374.55
  6. Step 6: Final answer
    x = 2,184.18

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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.