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Finding the Fourth Proportional to 1,876.71, 2,814.85 and 706.47

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Solution

The fourth proportional to 1,876.71, 2,814.85 and 706.47 is: 1,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.71 : 2,814.85 = 706.47 : x
  2. Step 2: Convert to fraction form
    1,876.71/2,814.85 = 706.47/x
  3. Step 3: Cross multiply
    1,876.71x = 2,814.85 × 706.47
  4. Step 4: Simplify right side
    1,876.71x = 1,988,607.08
  5. Step 5: Solve for x
    x = 1,988,607.08/1,876.71
  6. Step 6: Final answer
    x = 1,059.62

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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.