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Finding the Fourth Proportional to 2,063.97, 2,848.74 and 1,614.95

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Solution

The fourth proportional to 2,063.97, 2,848.74 and 1,614.95 is: 2,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.97 : 2,848.74 = 1,614.95 : x
  2. Step 2: Convert to fraction form
    2,063.97/2,848.74 = 1,614.95/x
  3. Step 3: Cross multiply
    2,063.97x = 2,848.74 × 1,614.95
  4. Step 4: Simplify right side
    2,063.97x = 4,600,592.70
  5. Step 5: Solve for x
    x = 4,600,592.70/2,063.97
  6. Step 6: Final answer
    x = 2,229.00

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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.