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Finding the Fourth Proportional to 1,652.89, 2,281.01 and 906.74

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Solution

The fourth proportional to 1,652.89, 2,281.01 and 906.74 is: 1,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.89 : 2,281.01 = 906.74 : x
  2. Step 2: Convert to fraction form
    1,652.89/2,281.01 = 906.74/x
  3. Step 3: Cross multiply
    1,652.89x = 2,281.01 × 906.74
  4. Step 4: Simplify right side
    1,652.89x = 2,068,283.01
  5. Step 5: Solve for x
    x = 2,068,283.01/1,652.89
  6. Step 6: Final answer
    x = 1,251.31

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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.