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Finding the Fourth Proportional to 2,298.42, 3,447.74 and 655.08

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Solution

The fourth proportional to 2,298.42, 3,447.74 and 655.08 is: 982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.42 : 3,447.74 = 655.08 : x
  2. Step 2: Convert to fraction form
    2,298.42/3,447.74 = 655.08/x
  3. Step 3: Cross multiply
    2,298.42x = 3,447.74 × 655.08
  4. Step 4: Simplify right side
    2,298.42x = 2,258,545.52
  5. Step 5: Solve for x
    x = 2,258,545.52/2,298.42
  6. Step 6: Final answer
    x = 982.65

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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.