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Finding the Fourth Proportional to 2,825.71, 4,238.53 and 688.60

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Solution

The fourth proportional to 2,825.71, 4,238.53 and 688.60 is: 1,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.71 : 4,238.53 = 688.60 : x
  2. Step 2: Convert to fraction form
    2,825.71/4,238.53 = 688.60/x
  3. Step 3: Cross multiply
    2,825.71x = 4,238.53 × 688.60
  4. Step 4: Simplify right side
    2,825.71x = 2,918,646.41
  5. Step 5: Solve for x
    x = 2,918,646.41/2,825.71
  6. Step 6: Final answer
    x = 1,032.89

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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.