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Finding the Fourth Proportional to 1,561.19, 2,340.14 and 738.86

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Solution

The fourth proportional to 1,561.19, 2,340.14 and 738.86 is: 1,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.19 : 2,340.14 = 738.86 : x
  2. Step 2: Convert to fraction form
    1,561.19/2,340.14 = 738.86/x
  3. Step 3: Cross multiply
    1,561.19x = 2,340.14 × 738.86
  4. Step 4: Simplify right side
    1,561.19x = 1,729,020.45
  5. Step 5: Solve for x
    x = 1,729,020.45/1,561.19
  6. Step 6: Final answer
    x = 1,107.51

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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.