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Finding the Fourth Proportional to 1,451.18, 2,002.32 and 891.74

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Solution

The fourth proportional to 1,451.18, 2,002.32 and 891.74 is: 1,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.18 : 2,002.32 = 891.74 : x
  2. Step 2: Convert to fraction form
    1,451.18/2,002.32 = 891.74/x
  3. Step 3: Cross multiply
    1,451.18x = 2,002.32 × 891.74
  4. Step 4: Simplify right side
    1,451.18x = 1,785,548.84
  5. Step 5: Solve for x
    x = 1,785,548.84/1,451.18
  6. Step 6: Final answer
    x = 1,230.41

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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.