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Finding the Fourth Proportional to 1,652.47, 2,280.47 and 906.46

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Solution

The fourth proportional to 1,652.47, 2,280.47 and 906.46 is: 1,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.47 : 2,280.47 = 906.46 : x
  2. Step 2: Convert to fraction form
    1,652.47/2,280.47 = 906.46/x
  3. Step 3: Cross multiply
    1,652.47x = 2,280.47 × 906.46
  4. Step 4: Simplify right side
    1,652.47x = 2,067,145.70
  5. Step 5: Solve for x
    x = 2,067,145.70/1,652.47
  6. Step 6: Final answer
    x = 1,250.94

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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.