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Finding the Fourth Proportional to 2,437.12, 3,657.16 and 898.24

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Solution

The fourth proportional to 2,437.12, 3,657.16 and 898.24 is: 1,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.12 : 3,657.16 = 898.24 : x
  2. Step 2: Convert to fraction form
    2,437.12/3,657.16 = 898.24/x
  3. Step 3: Cross multiply
    2,437.12x = 3,657.16 × 898.24
  4. Step 4: Simplify right side
    2,437.12x = 3,285,007.40
  5. Step 5: Solve for x
    x = 3,285,007.40/2,437.12
  6. Step 6: Final answer
    x = 1,347.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.