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Finding the Fourth Proportional to 1,535.79, 2,302.05 and 988.17

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Solution

The fourth proportional to 1,535.79, 2,302.05 and 988.17 is: 1,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.79 : 2,302.05 = 988.17 : x
  2. Step 2: Convert to fraction form
    1,535.79/2,302.05 = 988.17/x
  3. Step 3: Cross multiply
    1,535.79x = 2,302.05 × 988.17
  4. Step 4: Simplify right side
    1,535.79x = 2,274,816.75
  5. Step 5: Solve for x
    x = 2,274,816.75/1,535.79
  6. Step 6: Final answer
    x = 1,481.20

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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.