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Finding the Fourth Proportional to 4,580.61, 6,871.85 and 1,948.11

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Solution

The fourth proportional to 4,580.61, 6,871.85 and 1,948.11 is: 2,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.61 : 6,871.85 = 1,948.11 : x
  2. Step 2: Convert to fraction form
    4,580.61/6,871.85 = 1,948.11/x
  3. Step 3: Cross multiply
    4,580.61x = 6,871.85 × 1,948.11
  4. Step 4: Simplify right side
    4,580.61x = 13,387,109.96
  5. Step 5: Solve for x
    x = 13,387,109.96/4,580.61
  6. Step 6: Final answer
    x = 2,922.56

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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.