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Finding the Fourth Proportional to 2,312.77, 3,170.21 and 2,281.62

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Solution

The fourth proportional to 2,312.77, 3,170.21 and 2,281.62 is: 3,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.77 : 3,170.21 = 2,281.62 : x
  2. Step 2: Convert to fraction form
    2,312.77/3,170.21 = 2,281.62/x
  3. Step 3: Cross multiply
    2,312.77x = 3,170.21 × 2,281.62
  4. Step 4: Simplify right side
    2,312.77x = 7,233,216.44
  5. Step 5: Solve for x
    x = 7,233,216.44/2,312.77
  6. Step 6: Final answer
    x = 3,127.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.