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Finding the Fourth Proportional to 2,983.65, 4,117.28 and 2,283.81

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Solution

The fourth proportional to 2,983.65, 4,117.28 and 2,283.81 is: 3,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.65 : 4,117.28 = 2,283.81 : x
  2. Step 2: Convert to fraction form
    2,983.65/4,117.28 = 2,283.81/x
  3. Step 3: Cross multiply
    2,983.65x = 4,117.28 × 2,283.81
  4. Step 4: Simplify right side
    2,983.65x = 9,403,073.82
  5. Step 5: Solve for x
    x = 9,403,073.82/2,983.65
  6. Step 6: Final answer
    x = 3,151.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.