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Finding the Fourth Proportional to 2,314.65, 3,470.25 and 853.53

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Solution

The fourth proportional to 2,314.65, 3,470.25 and 853.53 is: 1,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.65 : 3,470.25 = 853.53 : x
  2. Step 2: Convert to fraction form
    2,314.65/3,470.25 = 853.53/x
  3. Step 3: Cross multiply
    2,314.65x = 3,470.25 × 853.53
  4. Step 4: Simplify right side
    2,314.65x = 2,961,962.48
  5. Step 5: Solve for x
    x = 2,961,962.48/2,314.65
  6. Step 6: Final answer
    x = 1,279.66

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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.