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Finding the Fourth Proportional to 2,459.52, 3,689.28 and 2,025.76

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Solution

The fourth proportional to 2,459.52, 3,689.28 and 2,025.76 is: 3,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.52 : 3,689.28 = 2,025.76 : x
  2. Step 2: Convert to fraction form
    2,459.52/3,689.28 = 2,025.76/x
  3. Step 3: Cross multiply
    2,459.52x = 3,689.28 × 2,025.76
  4. Step 4: Simplify right side
    2,459.52x = 7,473,595.85
  5. Step 5: Solve for x
    x = 7,473,595.85/2,459.52
  6. Step 6: Final answer
    x = 3,038.64

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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.