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Finding the Fourth Proportional to 1,616.32, 2,421.96 and 922.12

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Solution

The fourth proportional to 1,616.32, 2,421.96 and 922.12 is: 1,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.32 : 2,421.96 = 922.12 : x
  2. Step 2: Convert to fraction form
    1,616.32/2,421.96 = 922.12/x
  3. Step 3: Cross multiply
    1,616.32x = 2,421.96 × 922.12
  4. Step 4: Simplify right side
    1,616.32x = 2,233,337.76
  5. Step 5: Solve for x
    x = 2,233,337.76/1,616.32
  6. Step 6: Final answer
    x = 1,381.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.