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Finding the Fourth Proportional to 1,652.70, 2,280.78 and 989.92

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Solution

The fourth proportional to 1,652.70, 2,280.78 and 989.92 is: 1,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.70 : 2,280.78 = 989.92 : x
  2. Step 2: Convert to fraction form
    1,652.70/2,280.78 = 989.92/x
  3. Step 3: Cross multiply
    1,652.70x = 2,280.78 × 989.92
  4. Step 4: Simplify right side
    1,652.70x = 2,257,773.38
  5. Step 5: Solve for x
    x = 2,257,773.38/1,652.70
  6. Step 6: Final answer
    x = 1,366.11

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1.5x scale

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.