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Finding the Fourth Proportional to 2,943.59, 4,062.16 and 1,599.19

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Solution

The fourth proportional to 2,943.59, 4,062.16 and 1,599.19 is: 2,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.59 : 4,062.16 = 1,599.19 : x
  2. Step 2: Convert to fraction form
    2,943.59/4,062.16 = 1,599.19/x
  3. Step 3: Cross multiply
    2,943.59x = 4,062.16 × 1,599.19
  4. Step 4: Simplify right side
    2,943.59x = 6,496,182.59
  5. Step 5: Solve for x
    x = 6,496,182.59/2,943.59
  6. Step 6: Final answer
    x = 2,206.89

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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.