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Finding the Fourth Proportional to 3,121.65, 4,307.97 and 1,705.47

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Solution

The fourth proportional to 3,121.65, 4,307.97 and 1,705.47 is: 2,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.65 : 4,307.97 = 1,705.47 : x
  2. Step 2: Convert to fraction form
    3,121.65/4,307.97 = 1,705.47/x
  3. Step 3: Cross multiply
    3,121.65x = 4,307.97 × 1,705.47
  4. Step 4: Simplify right side
    3,121.65x = 7,347,107.50
  5. Step 5: Solve for x
    x = 7,347,107.50/3,121.65
  6. Step 6: Final answer
    x = 2,353.60

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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.