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Finding the Fourth Proportional to 2,995.84, 4,132.72 and 2,000.80

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Solution

The fourth proportional to 2,995.84, 4,132.72 and 2,000.80 is: 2,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.84 : 4,132.72 = 2,000.80 : x
  2. Step 2: Convert to fraction form
    2,995.84/4,132.72 = 2,000.80/x
  3. Step 3: Cross multiply
    2,995.84x = 4,132.72 × 2,000.80
  4. Step 4: Simplify right side
    2,995.84x = 8,268,746.18
  5. Step 5: Solve for x
    x = 8,268,746.18/2,995.84
  6. Step 6: Final answer
    x = 2,760.08

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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.