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Finding the Fourth Proportional to 2,074.91, 2,863.35 and 1,130.69

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Solution

The fourth proportional to 2,074.91, 2,863.35 and 1,130.69 is: 1,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.91 : 2,863.35 = 1,130.69 : x
  2. Step 2: Convert to fraction form
    2,074.91/2,863.35 = 1,130.69/x
  3. Step 3: Cross multiply
    2,074.91x = 2,863.35 × 1,130.69
  4. Step 4: Simplify right side
    2,074.91x = 3,237,546.89
  5. Step 5: Solve for x
    x = 3,237,546.89/2,074.91
  6. Step 6: Final answer
    x = 1,560.34

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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.