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Finding the Fourth Proportional to 1,448.32, 2,172.06 and 831.92

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Solution

The fourth proportional to 1,448.32, 2,172.06 and 831.92 is: 1,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.32 : 2,172.06 = 831.92 : x
  2. Step 2: Convert to fraction form
    1,448.32/2,172.06 = 831.92/x
  3. Step 3: Cross multiply
    1,448.32x = 2,172.06 × 831.92
  4. Step 4: Simplify right side
    1,448.32x = 1,806,980.16
  5. Step 5: Solve for x
    x = 1,806,980.16/1,448.32
  6. Step 6: Final answer
    x = 1,247.64

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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.