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Finding the Fourth Proportional to 3,122.65, 4,309.35 and 1,706.47

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Solution

The fourth proportional to 3,122.65, 4,309.35 and 1,706.47 is: 2,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.65 : 4,309.35 = 1,706.47 : x
  2. Step 2: Convert to fraction form
    3,122.65/4,309.35 = 1,706.47/x
  3. Step 3: Cross multiply
    3,122.65x = 4,309.35 × 1,706.47
  4. Step 4: Simplify right side
    3,122.65x = 7,353,776.49
  5. Step 5: Solve for x
    x = 7,353,776.49/3,122.65
  6. Step 6: Final answer
    x = 2,354.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.