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Finding the Fourth Proportional to 2,788.02, 4,182.01 and 708.02

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Solution

The fourth proportional to 2,788.02, 4,182.01 and 708.02 is: 1,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.02 : 4,182.01 = 708.02 : x
  2. Step 2: Convert to fraction form
    2,788.02/4,182.01 = 708.02/x
  3. Step 3: Cross multiply
    2,788.02x = 4,182.01 × 708.02
  4. Step 4: Simplify right side
    2,788.02x = 2,960,939.72
  5. Step 5: Solve for x
    x = 2,960,939.72/2,788.02
  6. Step 6: Final answer
    x = 1,062.02

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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.