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Finding the Fourth Proportional to 1,761.40, 2,435.40 and 1,542.76

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Solution

The fourth proportional to 1,761.40, 2,435.40 and 1,542.76 is: 2,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.40 : 2,435.40 = 1,542.76 : x
  2. Step 2: Convert to fraction form
    1,761.40/2,435.40 = 1,542.76/x
  3. Step 3: Cross multiply
    1,761.40x = 2,435.40 × 1,542.76
  4. Step 4: Simplify right side
    1,761.40x = 3,757,237.70
  5. Step 5: Solve for x
    x = 3,757,237.70/1,761.40
  6. Step 6: Final answer
    x = 2,133.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.