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Finding the Fourth Proportional to 2,802.18, 3,866.79 and 1,607.16

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Solution

The fourth proportional to 2,802.18, 3,866.79 and 1,607.16 is: 2,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.18 : 3,866.79 = 1,607.16 : x
  2. Step 2: Convert to fraction form
    2,802.18/3,866.79 = 1,607.16/x
  3. Step 3: Cross multiply
    2,802.18x = 3,866.79 × 1,607.16
  4. Step 4: Simplify right side
    2,802.18x = 6,214,522.85
  5. Step 5: Solve for x
    x = 6,214,522.85/2,802.18
  6. Step 6: Final answer
    x = 2,217.75

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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.