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Finding the Fourth Proportional to 1,591.76, 2,196.23 and 928.37

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Solution

The fourth proportional to 1,591.76, 2,196.23 and 928.37 is: 1,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.76 : 2,196.23 = 928.37 : x
  2. Step 2: Convert to fraction form
    1,591.76/2,196.23 = 928.37/x
  3. Step 3: Cross multiply
    1,591.76x = 2,196.23 × 928.37
  4. Step 4: Simplify right side
    1,591.76x = 2,038,898.42
  5. Step 5: Solve for x
    x = 2,038,898.42/1,591.76
  6. Step 6: Final answer
    x = 1,280.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.