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Finding the Fourth Proportional to 2,748.64, 4,113.90 and 2,368.48

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Solution

The fourth proportional to 2,748.64, 4,113.90 and 2,368.48 is: 3,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.64 : 4,113.90 = 2,368.48 : x
  2. Step 2: Convert to fraction form
    2,748.64/4,113.90 = 2,368.48/x
  3. Step 3: Cross multiply
    2,748.64x = 4,113.90 × 2,368.48
  4. Step 4: Simplify right side
    2,748.64x = 9,743,689.87
  5. Step 5: Solve for x
    x = 9,743,689.87/2,748.64
  6. Step 6: Final answer
    x = 3,544.91

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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.