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Finding the Fourth Proportional to 2,656.42, 3,981.20 and 2,214.92

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Solution

The fourth proportional to 2,656.42, 3,981.20 and 2,214.92 is: 3,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.42 : 3,981.20 = 2,214.92 : x
  2. Step 2: Convert to fraction form
    2,656.42/3,981.20 = 2,214.92/x
  3. Step 3: Cross multiply
    2,656.42x = 3,981.20 × 2,214.92
  4. Step 4: Simplify right side
    2,656.42x = 8,818,038.38
  5. Step 5: Solve for x
    x = 8,818,038.38/2,656.42
  6. Step 6: Final answer
    x = 3,319.52

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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.