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Finding the Fourth Proportional to 4,101.40, 6,152.90 and 1,761.40

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Solution

The fourth proportional to 4,101.40, 6,152.90 and 1,761.40 is: 2,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.40 : 6,152.90 = 1,761.40 : x
  2. Step 2: Convert to fraction form
    4,101.40/6,152.90 = 1,761.40/x
  3. Step 3: Cross multiply
    4,101.40x = 6,152.90 × 1,761.40
  4. Step 4: Simplify right side
    4,101.40x = 10,837,718.06
  5. Step 5: Solve for x
    x = 10,837,718.06/4,101.40
  6. Step 6: Final answer
    x = 2,642.44

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1.5x scale

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.