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Finding the Fourth Proportional to 2,598.87, 3,899.84 and 956.57

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Solution

The fourth proportional to 2,598.87, 3,899.84 and 956.57 is: 1,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.87 : 3,899.84 = 956.57 : x
  2. Step 2: Convert to fraction form
    2,598.87/3,899.84 = 956.57/x
  3. Step 3: Cross multiply
    2,598.87x = 3,899.84 × 956.57
  4. Step 4: Simplify right side
    2,598.87x = 3,730,482.09
  5. Step 5: Solve for x
    x = 3,730,482.09/2,598.87
  6. Step 6: Final answer
    x = 1,435.42

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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.