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Finding the Fourth Proportional to 2,315.69, 3,470.67 and 1,219.35

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Solution

The fourth proportional to 2,315.69, 3,470.67 and 1,219.35 is: 1,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.69 : 3,470.67 = 1,219.35 : x
  2. Step 2: Convert to fraction form
    2,315.69/3,470.67 = 1,219.35/x
  3. Step 3: Cross multiply
    2,315.69x = 3,470.67 × 1,219.35
  4. Step 4: Simplify right side
    2,315.69x = 4,231,961.46
  5. Step 5: Solve for x
    x = 4,231,961.46/2,315.69
  6. Step 6: Final answer
    x = 1,827.52

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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.