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Finding the Fourth Proportional to 2,488.28, 3,730.54 and 1,514.20

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Solution

The fourth proportional to 2,488.28, 3,730.54 and 1,514.20 is: 2,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.28 : 3,730.54 = 1,514.20 : x
  2. Step 2: Convert to fraction form
    2,488.28/3,730.54 = 1,514.20/x
  3. Step 3: Cross multiply
    2,488.28x = 3,730.54 × 1,514.20
  4. Step 4: Simplify right side
    2,488.28x = 5,648,783.67
  5. Step 5: Solve for x
    x = 5,648,783.67/2,488.28
  6. Step 6: Final answer
    x = 2,270.16

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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.