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Finding the Fourth Proportional to 2,762.40, 4,140.92 and 1,462.32

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Solution

The fourth proportional to 2,762.40, 4,140.92 and 1,462.32 is: 2,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.40 : 4,140.92 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    2,762.40/4,140.92 = 1,462.32/x
  3. Step 3: Cross multiply
    2,762.40x = 4,140.92 × 1,462.32
  4. Step 4: Simplify right side
    2,762.40x = 6,055,350.13
  5. Step 5: Solve for x
    x = 6,055,350.13/2,762.40
  6. Step 6: Final answer
    x = 2,192.06

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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.