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Finding the Fourth Proportional to 2,873.92, 4,316.35 and 1,785.89

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Solution

The fourth proportional to 2,873.92, 4,316.35 and 1,785.89 is: 2,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.92 : 4,316.35 = 1,785.89 : x
  2. Step 2: Convert to fraction form
    2,873.92/4,316.35 = 1,785.89/x
  3. Step 3: Cross multiply
    2,873.92x = 4,316.35 × 1,785.89
  4. Step 4: Simplify right side
    2,873.92x = 7,708,532.91
  5. Step 5: Solve for x
    x = 7,708,532.91/2,873.92
  6. Step 6: Final answer
    x = 2,682.23

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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.