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Finding the Fourth Proportional to 2,359, 3,535.14 and 1,125.40

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Solution

The fourth proportional to 2,359, 3,535.14 and 1,125.40 is: 1,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359 : 3,535.14 = 1,125.40 : x
  2. Step 2: Convert to fraction form
    2,359/3,535.14 = 1,125.40/x
  3. Step 3: Cross multiply
    2,359x = 3,535.14 × 1,125.40
  4. Step 4: Simplify right side
    2,359x = 3,978,446.56
  5. Step 5: Solve for x
    x = 3,978,446.56/2,359
  6. Step 6: Final answer
    x = 1,686.50

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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.