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Finding the Fourth Proportional to 2,298.93, 3,447.95 and 655.04

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Solution

The fourth proportional to 2,298.93, 3,447.95 and 655.04 is: 982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.93 : 3,447.95 = 655.04 : x
  2. Step 2: Convert to fraction form
    2,298.93/3,447.95 = 655.04/x
  3. Step 3: Cross multiply
    2,298.93x = 3,447.95 × 655.04
  4. Step 4: Simplify right side
    2,298.93x = 2,258,524.65
  5. Step 5: Solve for x
    x = 2,258,524.65/2,298.93
  6. Step 6: Final answer
    x = 982.42

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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.