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Finding the Fourth Proportional to 1,496.08, 2,242.86 and 845.92

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Solution

The fourth proportional to 1,496.08, 2,242.86 and 845.92 is: 1,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.08 : 2,242.86 = 845.92 : x
  2. Step 2: Convert to fraction form
    1,496.08/2,242.86 = 845.92/x
  3. Step 3: Cross multiply
    1,496.08x = 2,242.86 × 845.92
  4. Step 4: Simplify right side
    1,496.08x = 1,897,280.13
  5. Step 5: Solve for x
    x = 1,897,280.13/1,496.08
  6. Step 6: Final answer
    x = 1,268.17

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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.