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Finding the Fourth Proportional to 2,398.72, 3,574.56 and 2,320.42

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Solution

The fourth proportional to 2,398.72, 3,574.56 and 2,320.42 is: 3,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.72 : 3,574.56 = 2,320.42 : x
  2. Step 2: Convert to fraction form
    2,398.72/3,574.56 = 2,320.42/x
  3. Step 3: Cross multiply
    2,398.72x = 3,574.56 × 2,320.42
  4. Step 4: Simplify right side
    2,398.72x = 8,294,480.52
  5. Step 5: Solve for x
    x = 8,294,480.52/2,398.72
  6. Step 6: Final answer
    x = 3,457.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.