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Finding the Fourth Proportional to 3,315.71, 4,972.49 and 1,466.79

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Solution

The fourth proportional to 3,315.71, 4,972.49 and 1,466.79 is: 2,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.71 : 4,972.49 = 1,466.79 : x
  2. Step 2: Convert to fraction form
    3,315.71/4,972.49 = 1,466.79/x
  3. Step 3: Cross multiply
    3,315.71x = 4,972.49 × 1,466.79
  4. Step 4: Simplify right side
    3,315.71x = 7,293,578.13
  5. Step 5: Solve for x
    x = 7,293,578.13/3,315.71
  6. Step 6: Final answer
    x = 2,199.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.