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Finding the Fourth Proportional to 1,831.84, 2,527.80 and 1,045.78

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Solution

The fourth proportional to 1,831.84, 2,527.80 and 1,045.78 is: 1,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.84 : 2,527.80 = 1,045.78 : x
  2. Step 2: Convert to fraction form
    1,831.84/2,527.80 = 1,045.78/x
  3. Step 3: Cross multiply
    1,831.84x = 2,527.80 × 1,045.78
  4. Step 4: Simplify right side
    1,831.84x = 2,643,522.68
  5. Step 5: Solve for x
    x = 2,643,522.68/1,831.84
  6. Step 6: Final answer
    x = 1,443.10

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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.