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Finding the Fourth Proportional to 2,642.16, 3,647.40 and 2,012.88

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Solution

The fourth proportional to 2,642.16, 3,647.40 and 2,012.88 is: 2,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.16 : 3,647.40 = 2,012.88 : x
  2. Step 2: Convert to fraction form
    2,642.16/3,647.40 = 2,012.88/x
  3. Step 3: Cross multiply
    2,642.16x = 3,647.40 × 2,012.88
  4. Step 4: Simplify right side
    2,642.16x = 7,341,778.51
  5. Step 5: Solve for x
    x = 7,341,778.51/2,642.16
  6. Step 6: Final answer
    x = 2,778.70

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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.