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Finding the Fourth Proportional to 2,298.64, 3,447.92 and 567.24

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Solution

The fourth proportional to 2,298.64, 3,447.92 and 567.24 is: 850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.64 : 3,447.92 = 567.24 : x
  2. Step 2: Convert to fraction form
    2,298.64/3,447.92 = 567.24/x
  3. Step 3: Cross multiply
    2,298.64x = 3,447.92 × 567.24
  4. Step 4: Simplify right side
    2,298.64x = 1,955,798.14
  5. Step 5: Solve for x
    x = 1,955,798.14/2,298.64
  6. Step 6: Final answer
    x = 850.85

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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.