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Finding the Fourth Proportional to 2,895.71, 4,343.50 and 704.45

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Solution

The fourth proportional to 2,895.71, 4,343.50 and 704.45 is: 1,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.71 : 4,343.50 = 704.45 : x
  2. Step 2: Convert to fraction form
    2,895.71/4,343.50 = 704.45/x
  3. Step 3: Cross multiply
    2,895.71x = 4,343.50 × 704.45
  4. Step 4: Simplify right side
    2,895.71x = 3,059,778.58
  5. Step 5: Solve for x
    x = 3,059,778.58/2,895.71
  6. Step 6: Final answer
    x = 1,056.66

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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.