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Finding the Fourth Proportional to 2,315.06, 3,470.76 and 853.41

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Solution

The fourth proportional to 2,315.06, 3,470.76 and 853.41 is: 1,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.06 : 3,470.76 = 853.41 : x
  2. Step 2: Convert to fraction form
    2,315.06/3,470.76 = 853.41/x
  3. Step 3: Cross multiply
    2,315.06x = 3,470.76 × 853.41
  4. Step 4: Simplify right side
    2,315.06x = 2,961,981.29
  5. Step 5: Solve for x
    x = 2,961,981.29/2,315.06
  6. Step 6: Final answer
    x = 1,279.44

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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.