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Finding the Fourth Proportional to 2,098.15, 3,147.42 and 928.00

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Solution

The fourth proportional to 2,098.15, 3,147.42 and 928.00 is: 1,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.15 : 3,147.42 = 928.00 : x
  2. Step 2: Convert to fraction form
    2,098.15/3,147.42 = 928.00/x
  3. Step 3: Cross multiply
    2,098.15x = 3,147.42 × 928.00
  4. Step 4: Simplify right side
    2,098.15x = 2,920,797.89
  5. Step 5: Solve for x
    x = 2,920,797.89/2,098.15
  6. Step 6: Final answer
    x = 1,392.08

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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.