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Finding the Fourth Proportional to 2,400.70, 3,314.50 and 1,959.65

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Solution

The fourth proportional to 2,400.70, 3,314.50 and 1,959.65 is: 2,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.70 : 3,314.50 = 1,959.65 : x
  2. Step 2: Convert to fraction form
    2,400.70/3,314.50 = 1,959.65/x
  3. Step 3: Cross multiply
    2,400.70x = 3,314.50 × 1,959.65
  4. Step 4: Simplify right side
    2,400.70x = 6,495,250.13
  5. Step 5: Solve for x
    x = 6,495,250.13/2,400.70
  6. Step 6: Final answer
    x = 2,705.57

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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.