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Finding the Fourth Proportional to 1,711.06, 2,567.13 and 737.62

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Solution

The fourth proportional to 1,711.06, 2,567.13 and 737.62 is: 1,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.06 : 2,567.13 = 737.62 : x
  2. Step 2: Convert to fraction form
    1,711.06/2,567.13 = 737.62/x
  3. Step 3: Cross multiply
    1,711.06x = 2,567.13 × 737.62
  4. Step 4: Simplify right side
    1,711.06x = 1,893,566.43
  5. Step 5: Solve for x
    x = 1,893,566.43/1,711.06
  6. Step 6: Final answer
    x = 1,106.66

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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.