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Finding the Fourth Proportional to 2,876.88, 3,970.01 and 1,617.99

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Solution

The fourth proportional to 2,876.88, 3,970.01 and 1,617.99 is: 2,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.88 : 3,970.01 = 1,617.99 : x
  2. Step 2: Convert to fraction form
    2,876.88/3,970.01 = 1,617.99/x
  3. Step 3: Cross multiply
    2,876.88x = 3,970.01 × 1,617.99
  4. Step 4: Simplify right side
    2,876.88x = 6,423,428.39
  5. Step 5: Solve for x
    x = 6,423,428.39/2,876.88
  6. Step 6: Final answer
    x = 2,232.78

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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.