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Finding the Fourth Proportional to 2,488.32, 3,732.48 and 2,345.76

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Solution

The fourth proportional to 2,488.32, 3,732.48 and 2,345.76 is: 3,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.32 : 3,732.48 = 2,345.76 : x
  2. Step 2: Convert to fraction form
    2,488.32/3,732.48 = 2,345.76/x
  3. Step 3: Cross multiply
    2,488.32x = 3,732.48 × 2,345.76
  4. Step 4: Simplify right side
    2,488.32x = 8,755,502.28
  5. Step 5: Solve for x
    x = 8,755,502.28/2,488.32
  6. Step 6: Final answer
    x = 3,518.64

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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.