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Finding the Fourth Proportional to 2,518, 3,469.98 and 1,925.08

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Solution

The fourth proportional to 2,518, 3,469.98 and 1,925.08 is: 2,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518 : 3,469.98 = 1,925.08 : x
  2. Step 2: Convert to fraction form
    2,518/3,469.98 = 1,925.08/x
  3. Step 3: Cross multiply
    2,518x = 3,469.98 × 1,925.08
  4. Step 4: Simplify right side
    2,518x = 6,679,989.10
  5. Step 5: Solve for x
    x = 6,679,989.10/2,518
  6. Step 6: Final answer
    x = 2,652.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.