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Finding the Fourth Proportional to 2,300.90, 3,451.58 and 839.72

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Solution

The fourth proportional to 2,300.90, 3,451.58 and 839.72 is: 1,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.90 : 3,451.58 = 839.72 : x
  2. Step 2: Convert to fraction form
    2,300.90/3,451.58 = 839.72/x
  3. Step 3: Cross multiply
    2,300.90x = 3,451.58 × 839.72
  4. Step 4: Simplify right side
    2,300.90x = 2,898,339.30
  5. Step 5: Solve for x
    x = 2,898,339.30/2,300.90
  6. Step 6: Final answer
    x = 1,259.65

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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.