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Finding the Fourth Proportional to 2,312.69, 3,189.17 and 1,526.99

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Solution

The fourth proportional to 2,312.69, 3,189.17 and 1,526.99 is: 2,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.69 : 3,189.17 = 1,526.99 : x
  2. Step 2: Convert to fraction form
    2,312.69/3,189.17 = 1,526.99/x
  3. Step 3: Cross multiply
    2,312.69x = 3,189.17 × 1,526.99
  4. Step 4: Simplify right side
    2,312.69x = 4,869,818.57
  5. Step 5: Solve for x
    x = 4,869,818.57/2,312.69
  6. Step 6: Final answer
    x = 2,105.70

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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.