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Finding the Fourth Proportional to 3,134.84, 4,326.10 and 1,737.60

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Solution

The fourth proportional to 3,134.84, 4,326.10 and 1,737.60 is: 2,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.84 : 4,326.10 = 1,737.60 : x
  2. Step 2: Convert to fraction form
    3,134.84/4,326.10 = 1,737.60/x
  3. Step 3: Cross multiply
    3,134.84x = 4,326.10 × 1,737.60
  4. Step 4: Simplify right side
    3,134.84x = 7,517,031.36
  5. Step 5: Solve for x
    x = 7,517,031.36/3,134.84
  6. Step 6: Final answer
    x = 2,397.90

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1.5x scale

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.