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Finding the Fourth Proportional to 2,859.64, 4,289.46 and 1,701.88

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Solution

The fourth proportional to 2,859.64, 4,289.46 and 1,701.88 is: 2,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.64 : 4,289.46 = 1,701.88 : x
  2. Step 2: Convert to fraction form
    2,859.64/4,289.46 = 1,701.88/x
  3. Step 3: Cross multiply
    2,859.64x = 4,289.46 × 1,701.88
  4. Step 4: Simplify right side
    2,859.64x = 7,300,146.18
  5. Step 5: Solve for x
    x = 7,300,146.18/2,859.64
  6. Step 6: Final answer
    x = 2,552.82

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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.