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Finding the Fourth Proportional to 3,169.60, 4,746.30 and 2,343.40

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Solution

The fourth proportional to 3,169.60, 4,746.30 and 2,343.40 is: 3,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.60 : 4,746.30 = 2,343.40 : x
  2. Step 2: Convert to fraction form
    3,169.60/4,746.30 = 2,343.40/x
  3. Step 3: Cross multiply
    3,169.60x = 4,746.30 × 2,343.40
  4. Step 4: Simplify right side
    3,169.60x = 11,122,479.42
  5. Step 5: Solve for x
    x = 11,122,479.42/3,169.60
  6. Step 6: Final answer
    x = 3,509.11

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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.