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Finding the Fourth Proportional to 1,527.07, 2,106.98 and 863.83

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Solution

The fourth proportional to 1,527.07, 2,106.98 and 863.83 is: 1,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.07 : 2,106.98 = 863.83 : x
  2. Step 2: Convert to fraction form
    1,527.07/2,106.98 = 863.83/x
  3. Step 3: Cross multiply
    1,527.07x = 2,106.98 × 863.83
  4. Step 4: Simplify right side
    1,527.07x = 1,820,072.53
  5. Step 5: Solve for x
    x = 1,820,072.53/1,527.07
  6. Step 6: Final answer
    x = 1,191.87

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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.