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Finding the Fourth Proportional to 3,116.57, 4,674.80 and 1,802.30

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Solution

The fourth proportional to 3,116.57, 4,674.80 and 1,802.30 is: 2,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.57 : 4,674.80 = 1,802.30 : x
  2. Step 2: Convert to fraction form
    3,116.57/4,674.80 = 1,802.30/x
  3. Step 3: Cross multiply
    3,116.57x = 4,674.80 × 1,802.30
  4. Step 4: Simplify right side
    3,116.57x = 8,425,359.65
  5. Step 5: Solve for x
    x = 8,425,359.65/3,116.57
  6. Step 6: Final answer
    x = 2,703.41

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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.