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Finding the Fourth Proportional to 2,599.29, 3,883.14 and 1,981.26

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Solution

The fourth proportional to 2,599.29, 3,883.14 and 1,981.26 is: 2,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.29 : 3,883.14 = 1,981.26 : x
  2. Step 2: Convert to fraction form
    2,599.29/3,883.14 = 1,981.26/x
  3. Step 3: Cross multiply
    2,599.29x = 3,883.14 × 1,981.26
  4. Step 4: Simplify right side
    2,599.29x = 7,693,509.96
  5. Step 5: Solve for x
    x = 7,693,509.96/2,599.29
  6. Step 6: Final answer
    x = 2,959.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.