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Finding the Fourth Proportional to 2,752.89, 4,130.24 and 1,366.42

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Solution

The fourth proportional to 2,752.89, 4,130.24 and 1,366.42 is: 2,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.89 : 4,130.24 = 1,366.42 : x
  2. Step 2: Convert to fraction form
    2,752.89/4,130.24 = 1,366.42/x
  3. Step 3: Cross multiply
    2,752.89x = 4,130.24 × 1,366.42
  4. Step 4: Simplify right side
    2,752.89x = 5,643,640.81
  5. Step 5: Solve for x
    x = 5,643,640.81/2,752.89
  6. Step 6: Final answer
    x = 2,050.08

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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.