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Finding the Fourth Proportional to 2,877.71, 4,315.65 and 929.46

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Solution

The fourth proportional to 2,877.71, 4,315.65 and 929.46 is: 1,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.71 : 4,315.65 = 929.46 : x
  2. Step 2: Convert to fraction form
    2,877.71/4,315.65 = 929.46/x
  3. Step 3: Cross multiply
    2,877.71x = 4,315.65 × 929.46
  4. Step 4: Simplify right side
    2,877.71x = 4,011,224.05
  5. Step 5: Solve for x
    x = 4,011,224.05/2,877.71
  6. Step 6: Final answer
    x = 1,393.89

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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.