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Finding the Fourth Proportional to 2,437.55, 3,652.67 and 1,462.58

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Solution

The fourth proportional to 2,437.55, 3,652.67 and 1,462.58 is: 2,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.55 : 3,652.67 = 1,462.58 : x
  2. Step 2: Convert to fraction form
    2,437.55/3,652.67 = 1,462.58/x
  3. Step 3: Cross multiply
    2,437.55x = 3,652.67 × 1,462.58
  4. Step 4: Simplify right side
    2,437.55x = 5,342,322.09
  5. Step 5: Solve for x
    x = 5,342,322.09/2,437.55
  6. Step 6: Final answer
    x = 2,191.68

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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.