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Finding the Fourth Proportional to 2,648.32, 3,970.56 and 1,186.72

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Solution

The fourth proportional to 2,648.32, 3,970.56 and 1,186.72 is: 1,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.32 : 3,970.56 = 1,186.72 : x
  2. Step 2: Convert to fraction form
    2,648.32/3,970.56 = 1,186.72/x
  3. Step 3: Cross multiply
    2,648.32x = 3,970.56 × 1,186.72
  4. Step 4: Simplify right side
    2,648.32x = 4,711,942.96
  5. Step 5: Solve for x
    x = 4,711,942.96/2,648.32
  6. Step 6: Final answer
    x = 1,779.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.