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Finding the Fourth Proportional to 1,601.18, 2,401.16 and 560.88

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Solution

The fourth proportional to 1,601.18, 2,401.16 and 560.88 is: 841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.18 : 2,401.16 = 560.88 : x
  2. Step 2: Convert to fraction form
    1,601.18/2,401.16 = 560.88/x
  3. Step 3: Cross multiply
    1,601.18x = 2,401.16 × 560.88
  4. Step 4: Simplify right side
    1,601.18x = 1,346,759.82
  5. Step 5: Solve for x
    x = 1,346,759.82/1,601.18
  6. Step 6: Final answer
    x = 841.11

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