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Finding the Fourth Proportional to 1,526.80, 2,286.04 and 1,063.60

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Solution

The fourth proportional to 1,526.80, 2,286.04 and 1,063.60 is: 1,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.80 : 2,286.04 = 1,063.60 : x
  2. Step 2: Convert to fraction form
    1,526.80/2,286.04 = 1,063.60/x
  3. Step 3: Cross multiply
    1,526.80x = 2,286.04 × 1,063.60
  4. Step 4: Simplify right side
    1,526.80x = 2,431,432.14
  5. Step 5: Solve for x
    x = 2,431,432.14/1,526.80
  6. Step 6: Final answer
    x = 1,592.50

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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.