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Finding the Fourth Proportional to 2,427.76, 3,648.93 and 2,136.16

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Solution

The fourth proportional to 2,427.76, 3,648.93 and 2,136.16 is: 3,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.76 : 3,648.93 = 2,136.16 : x
  2. Step 2: Convert to fraction form
    2,427.76/3,648.93 = 2,136.16/x
  3. Step 3: Cross multiply
    2,427.76x = 3,648.93 × 2,136.16
  4. Step 4: Simplify right side
    2,427.76x = 7,794,698.31
  5. Step 5: Solve for x
    x = 7,794,698.31/2,427.76
  6. Step 6: Final answer
    x = 3,210.65

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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.