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Finding the Fourth Proportional to 1,628.86, 2,442.79 and 588.74

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Solution

The fourth proportional to 1,628.86, 2,442.79 and 588.74 is: 882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.86 : 2,442.79 = 588.74 : x
  2. Step 2: Convert to fraction form
    1,628.86/2,442.79 = 588.74/x
  3. Step 3: Cross multiply
    1,628.86x = 2,442.79 × 588.74
  4. Step 4: Simplify right side
    1,628.86x = 1,438,155.97
  5. Step 5: Solve for x
    x = 1,438,155.97/1,628.86
  6. Step 6: Final answer
    x = 882.92

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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.