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Finding the Fourth Proportional to 3,124.96, 4,689.48 and 1,665.16

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Solution

The fourth proportional to 3,124.96, 4,689.48 and 1,665.16 is: 2,498.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.96 : 4,689.48 = 1,665.16 : x
  2. Step 2: Convert to fraction form
    3,124.96/4,689.48 = 1,665.16/x
  3. Step 3: Cross multiply
    3,124.96x = 4,689.48 × 1,665.16
  4. Step 4: Simplify right side
    3,124.96x = 7,808,734.52
  5. Step 5: Solve for x
    x = 7,808,734.52/3,124.96
  6. Step 6: Final answer
    x = 2,498.83

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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.