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Finding the Fourth Proportional to 2,298.48, 3,153.12 and 2,240.16

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Solution

The fourth proportional to 2,298.48, 3,153.12 and 2,240.16 is: 3,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.48 : 3,153.12 = 2,240.16 : x
  2. Step 2: Convert to fraction form
    2,298.48/3,153.12 = 2,240.16/x
  3. Step 3: Cross multiply
    2,298.48x = 3,153.12 × 2,240.16
  4. Step 4: Simplify right side
    2,298.48x = 7,063,493.30
  5. Step 5: Solve for x
    x = 7,063,493.30/2,298.48
  6. Step 6: Final answer
    x = 3,073.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.