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Finding the Fourth Proportional to 1,831.64, 2,524.23 and 1,306.76

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Solution

The fourth proportional to 1,831.64, 2,524.23 and 1,306.76 is: 1,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.64 : 2,524.23 = 1,306.76 : x
  2. Step 2: Convert to fraction form
    1,831.64/2,524.23 = 1,306.76/x
  3. Step 3: Cross multiply
    1,831.64x = 2,524.23 × 1,306.76
  4. Step 4: Simplify right side
    1,831.64x = 3,298,550.17
  5. Step 5: Solve for x
    x = 3,298,550.17/1,831.64
  6. Step 6: Final answer
    x = 1,800.88

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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.