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Finding the Fourth Proportional to 1,601.97, 2,401.53 and 872.16

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Solution

The fourth proportional to 1,601.97, 2,401.53 and 872.16 is: 1,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.97 : 2,401.53 = 872.16 : x
  2. Step 2: Convert to fraction form
    1,601.97/2,401.53 = 872.16/x
  3. Step 3: Cross multiply
    1,601.97x = 2,401.53 × 872.16
  4. Step 4: Simplify right side
    1,601.97x = 2,094,518.40
  5. Step 5: Solve for x
    x = 2,094,518.40/1,601.97
  6. Step 6: Final answer
    x = 1,307.46

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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.