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Finding the Fourth Proportional to 2,152.56, 2,971.20 and 1,679.04

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Solution

The fourth proportional to 2,152.56, 2,971.20 and 1,679.04 is: 2,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.56 : 2,971.20 = 1,679.04 : x
  2. Step 2: Convert to fraction form
    2,152.56/2,971.20 = 1,679.04/x
  3. Step 3: Cross multiply
    2,152.56x = 2,971.20 × 1,679.04
  4. Step 4: Simplify right side
    2,152.56x = 4,988,763.65
  5. Step 5: Solve for x
    x = 4,988,763.65/2,152.56
  6. Step 6: Final answer
    x = 2,317.60

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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.