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Finding the Fourth Proportional to 2,938.53, 4,055.13 and 1,612.11

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Solution

The fourth proportional to 2,938.53, 4,055.13 and 1,612.11 is: 2,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.53 : 4,055.13 = 1,612.11 : x
  2. Step 2: Convert to fraction form
    2,938.53/4,055.13 = 1,612.11/x
  3. Step 3: Cross multiply
    2,938.53x = 4,055.13 × 1,612.11
  4. Step 4: Simplify right side
    2,938.53x = 6,537,315.62
  5. Step 5: Solve for x
    x = 6,537,315.62/2,938.53
  6. Step 6: Final answer
    x = 2,224.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.