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Finding the Fourth Proportional to 3,442.64, 4,747.92 and 2,323.40

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Solution

The fourth proportional to 3,442.64, 4,747.92 and 2,323.40 is: 3,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.64 : 4,747.92 = 2,323.40 : x
  2. Step 2: Convert to fraction form
    3,442.64/4,747.92 = 2,323.40/x
  3. Step 3: Cross multiply
    3,442.64x = 4,747.92 × 2,323.40
  4. Step 4: Simplify right side
    3,442.64x = 11,031,317.33
  5. Step 5: Solve for x
    x = 11,031,317.33/3,442.64
  6. Step 6: Final answer
    x = 3,204.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.