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Finding the Fourth Proportional to 2,041.92, 2,817.93 and 1,157.71

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Solution

The fourth proportional to 2,041.92, 2,817.93 and 1,157.71 is: 1,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.92 : 2,817.93 = 1,157.71 : x
  2. Step 2: Convert to fraction form
    2,041.92/2,817.93 = 1,157.71/x
  3. Step 3: Cross multiply
    2,041.92x = 2,817.93 × 1,157.71
  4. Step 4: Simplify right side
    2,041.92x = 3,262,345.74
  5. Step 5: Solve for x
    x = 3,262,345.74/2,041.92
  6. Step 6: Final answer
    x = 1,597.69

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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.