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Finding the Fourth Proportional to 1,709.71, 2,566.16 and 877.37

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Solution

The fourth proportional to 1,709.71, 2,566.16 and 877.37 is: 1,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.71 : 2,566.16 = 877.37 : x
  2. Step 2: Convert to fraction form
    1,709.71/2,566.16 = 877.37/x
  3. Step 3: Cross multiply
    1,709.71x = 2,566.16 × 877.37
  4. Step 4: Simplify right side
    1,709.71x = 2,251,471.80
  5. Step 5: Solve for x
    x = 2,251,471.80/1,709.71
  6. Step 6: Final answer
    x = 1,316.87

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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.