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Finding the Fourth Proportional to 1,527.94, 2,288.28 and 1,180.48

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Solution

The fourth proportional to 1,527.94, 2,288.28 and 1,180.48 is: 1,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.94 : 2,288.28 = 1,180.48 : x
  2. Step 2: Convert to fraction form
    1,527.94/2,288.28 = 1,180.48/x
  3. Step 3: Cross multiply
    1,527.94x = 2,288.28 × 1,180.48
  4. Step 4: Simplify right side
    1,527.94x = 2,701,268.77
  5. Step 5: Solve for x
    x = 2,701,268.77/1,527.94
  6. Step 6: Final answer
    x = 1,767.92

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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.