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Finding the Fourth Proportional to 1,831.62, 2,527.24 and 1,085.82

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Solution

The fourth proportional to 1,831.62, 2,527.24 and 1,085.82 is: 1,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.62 : 2,527.24 = 1,085.82 : x
  2. Step 2: Convert to fraction form
    1,831.62/2,527.24 = 1,085.82/x
  3. Step 3: Cross multiply
    1,831.62x = 2,527.24 × 1,085.82
  4. Step 4: Simplify right side
    1,831.62x = 2,744,127.74
  5. Step 5: Solve for x
    x = 2,744,127.74/1,831.62
  6. Step 6: Final answer
    x = 1,498.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.