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Finding the Fourth Proportional to 2,675.61, 4,013.42 and 1,756.98

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Solution

The fourth proportional to 2,675.61, 4,013.42 and 1,756.98 is: 2,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.61 : 4,013.42 = 1,756.98 : x
  2. Step 2: Convert to fraction form
    2,675.61/4,013.42 = 1,756.98/x
  3. Step 3: Cross multiply
    2,675.61x = 4,013.42 × 1,756.98
  4. Step 4: Simplify right side
    2,675.61x = 7,051,489.89
  5. Step 5: Solve for x
    x = 7,051,489.89/2,675.61
  6. Step 6: Final answer
    x = 2,635.47

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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.