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Finding the Fourth Proportional to 2,102.42, 3,154.18 and 715.84

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Solution

The fourth proportional to 2,102.42, 3,154.18 and 715.84 is: 1,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.42 : 3,154.18 = 715.84 : x
  2. Step 2: Convert to fraction form
    2,102.42/3,154.18 = 715.84/x
  3. Step 3: Cross multiply
    2,102.42x = 3,154.18 × 715.84
  4. Step 4: Simplify right side
    2,102.42x = 2,257,898.83
  5. Step 5: Solve for x
    x = 2,257,898.83/2,102.42
  6. Step 6: Final answer
    x = 1,073.95

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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.