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Finding the Fourth Proportional to 2,648.76, 3,970.04 and 1,770.20

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Solution

The fourth proportional to 2,648.76, 3,970.04 and 1,770.20 is: 2,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.76 : 3,970.04 = 1,770.20 : x
  2. Step 2: Convert to fraction form
    2,648.76/3,970.04 = 1,770.20/x
  3. Step 3: Cross multiply
    2,648.76x = 3,970.04 × 1,770.20
  4. Step 4: Simplify right side
    2,648.76x = 7,027,764.81
  5. Step 5: Solve for x
    x = 7,027,764.81/2,648.76
  6. Step 6: Final answer
    x = 2,653.23

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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.