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Finding the Fourth Proportional to 4,761.84, 7,141.86 and 1,988.40

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Solution

The fourth proportional to 4,761.84, 7,141.86 and 1,988.40 is: 2,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.84 : 7,141.86 = 1,988.40 : x
  2. Step 2: Convert to fraction form
    4,761.84/7,141.86 = 1,988.40/x
  3. Step 3: Cross multiply
    4,761.84x = 7,141.86 × 1,988.40
  4. Step 4: Simplify right side
    4,761.84x = 14,200,874.42
  5. Step 5: Solve for x
    x = 14,200,874.42/4,761.84
  6. Step 6: Final answer
    x = 2,982.22

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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.