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Finding the Fourth Proportional to 2,903.64, 4,007.12 and 1,708.72

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Solution

The fourth proportional to 2,903.64, 4,007.12 and 1,708.72 is: 2,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.64 : 4,007.12 = 1,708.72 : x
  2. Step 2: Convert to fraction form
    2,903.64/4,007.12 = 1,708.72/x
  3. Step 3: Cross multiply
    2,903.64x = 4,007.12 × 1,708.72
  4. Step 4: Simplify right side
    2,903.64x = 6,847,046.09
  5. Step 5: Solve for x
    x = 6,847,046.09/2,903.64
  6. Step 6: Final answer
    x = 2,358.09

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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.