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Finding the Fourth Proportional to 3,165.65, 4,748.05 and 974.19

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Solution

The fourth proportional to 3,165.65, 4,748.05 and 974.19 is: 1,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.65 : 4,748.05 = 974.19 : x
  2. Step 2: Convert to fraction form
    3,165.65/4,748.05 = 974.19/x
  3. Step 3: Cross multiply
    3,165.65x = 4,748.05 × 974.19
  4. Step 4: Simplify right side
    3,165.65x = 4,625,521.85
  5. Step 5: Solve for x
    x = 4,625,521.85/3,165.65
  6. Step 6: Final answer
    x = 1,461.16

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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.