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Finding the Fourth Proportional to 2,762.17, 4,144.16 and 1,117.82

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Solution

The fourth proportional to 2,762.17, 4,144.16 and 1,117.82 is: 1,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.17 : 4,144.16 = 1,117.82 : x
  2. Step 2: Convert to fraction form
    2,762.17/4,144.16 = 1,117.82/x
  3. Step 3: Cross multiply
    2,762.17x = 4,144.16 × 1,117.82
  4. Step 4: Simplify right side
    2,762.17x = 4,632,438.09
  5. Step 5: Solve for x
    x = 4,632,438.09/2,762.17
  6. Step 6: Final answer
    x = 1,677.10

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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.