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Finding the Fourth Proportional to 4,917.66, 7,377.23 and 1,630

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Solution

The fourth proportional to 4,917.66, 7,377.23 and 1,630 is: 2,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.66 : 7,377.23 = 1,630 : x
  2. Step 2: Convert to fraction form
    4,917.66/7,377.23 = 1,630/x
  3. Step 3: Cross multiply
    4,917.66x = 7,377.23 × 1,630
  4. Step 4: Simplify right side
    4,917.66x = 12,024,884.90
  5. Step 5: Solve for x
    x = 12,024,884.90/4,917.66
  6. Step 6: Final answer
    x = 2,445.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.