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Finding the Fourth Proportional to 3,165.16, 4,747.72 and 1,705

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Solution

The fourth proportional to 3,165.16, 4,747.72 and 1,705 is: 2,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.16 : 4,747.72 = 1,705 : x
  2. Step 2: Convert to fraction form
    3,165.16/4,747.72 = 1,705/x
  3. Step 3: Cross multiply
    3,165.16x = 4,747.72 × 1,705
  4. Step 4: Simplify right side
    3,165.16x = 8,094,862.60
  5. Step 5: Solve for x
    x = 8,094,862.60/3,165.16
  6. Step 6: Final answer
    x = 2,557.49

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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.