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Finding the Fourth Proportional to 3,143.74, 4,338.28 and 1,746.49

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Solution

The fourth proportional to 3,143.74, 4,338.28 and 1,746.49 is: 2,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.74 : 4,338.28 = 1,746.49 : x
  2. Step 2: Convert to fraction form
    3,143.74/4,338.28 = 1,746.49/x
  3. Step 3: Cross multiply
    3,143.74x = 4,338.28 × 1,746.49
  4. Step 4: Simplify right side
    3,143.74x = 7,576,762.64
  5. Step 5: Solve for x
    x = 7,576,762.64/3,143.74
  6. Step 6: Final answer
    x = 2,410.11

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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.