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Finding the Fourth Proportional to 1,601.16, 2,400.96 and 561.12

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Solution

The fourth proportional to 1,601.16, 2,400.96 and 561.12 is: 841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.16 : 2,400.96 = 561.12 : x
  2. Step 2: Convert to fraction form
    1,601.16/2,400.96 = 561.12/x
  3. Step 3: Cross multiply
    1,601.16x = 2,400.96 × 561.12
  4. Step 4: Simplify right side
    1,601.16x = 1,347,226.68
  5. Step 5: Solve for x
    x = 1,347,226.68/1,601.16
  6. Step 6: Final answer
    x = 841.41

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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.