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Finding the Fourth Proportional to 2,437.12, 3,657.20 and 898.08

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Solution

The fourth proportional to 2,437.12, 3,657.20 and 898.08 is: 1,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.12 : 3,657.20 = 898.08 : x
  2. Step 2: Convert to fraction form
    2,437.12/3,657.20 = 898.08/x
  3. Step 3: Cross multiply
    2,437.12x = 3,657.20 × 898.08
  4. Step 4: Simplify right side
    2,437.12x = 3,284,458.18
  5. Step 5: Solve for x
    x = 3,284,458.18/2,437.12
  6. Step 6: Final answer
    x = 1,347.68

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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.