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Finding the Fourth Proportional to 1,527.23, 2,290.85 and 878.42

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Solution

The fourth proportional to 1,527.23, 2,290.85 and 878.42 is: 1,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.23 : 2,290.85 = 878.42 : x
  2. Step 2: Convert to fraction form
    1,527.23/2,290.85 = 878.42/x
  3. Step 3: Cross multiply
    1,527.23x = 2,290.85 × 878.42
  4. Step 4: Simplify right side
    1,527.23x = 2,012,328.46
  5. Step 5: Solve for x
    x = 2,012,328.46/1,527.23
  6. Step 6: Final answer
    x = 1,317.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.