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Finding the Fourth Proportional to 1,579.32, 2,177.50 and 988.82

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Solution

The fourth proportional to 1,579.32, 2,177.50 and 988.82 is: 1,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.32 : 2,177.50 = 988.82 : x
  2. Step 2: Convert to fraction form
    1,579.32/2,177.50 = 988.82/x
  3. Step 3: Cross multiply
    1,579.32x = 2,177.50 × 988.82
  4. Step 4: Simplify right side
    1,579.32x = 2,153,155.55
  5. Step 5: Solve for x
    x = 2,153,155.55/1,579.32
  6. Step 6: Final answer
    x = 1,363.34

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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.