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Finding the Fourth Proportional to 2,652.18, 3,977.19 and 802.68

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Solution

The fourth proportional to 2,652.18, 3,977.19 and 802.68 is: 1,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.18 : 3,977.19 = 802.68 : x
  2. Step 2: Convert to fraction form
    2,652.18/3,977.19 = 802.68/x
  3. Step 3: Cross multiply
    2,652.18x = 3,977.19 × 802.68
  4. Step 4: Simplify right side
    2,652.18x = 3,192,410.87
  5. Step 5: Solve for x
    x = 3,192,410.87/2,652.18
  6. Step 6: Final answer
    x = 1,203.69

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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.