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Finding the Fourth Proportional to 2,298.89, 3,448.35 and 567.53

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Solution

The fourth proportional to 2,298.89, 3,448.35 and 567.53 is: 851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.89 : 3,448.35 = 567.53 : x
  2. Step 2: Convert to fraction form
    2,298.89/3,448.35 = 567.53/x
  3. Step 3: Cross multiply
    2,298.89x = 3,448.35 × 567.53
  4. Step 4: Simplify right side
    2,298.89x = 1,957,042.08
  5. Step 5: Solve for x
    x = 1,957,042.08/2,298.89
  6. Step 6: Final answer
    x = 851.30

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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.