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Finding the Fourth Proportional to 1,563.08, 2,342.93 and 831.92

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Solution

The fourth proportional to 1,563.08, 2,342.93 and 831.92 is: 1,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.08 : 2,342.93 = 831.92 : x
  2. Step 2: Convert to fraction form
    1,563.08/2,342.93 = 831.92/x
  3. Step 3: Cross multiply
    1,563.08x = 2,342.93 × 831.92
  4. Step 4: Simplify right side
    1,563.08x = 1,949,130.33
  5. Step 5: Solve for x
    x = 1,949,130.33/1,563.08
  6. Step 6: Final answer
    x = 1,246.98

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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.