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Finding the Fourth Proportional to 2,411.82, 3,617.98 and 767.98

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Solution

The fourth proportional to 2,411.82, 3,617.98 and 767.98 is: 1,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.82 : 3,617.98 = 767.98 : x
  2. Step 2: Convert to fraction form
    2,411.82/3,617.98 = 767.98/x
  3. Step 3: Cross multiply
    2,411.82x = 3,617.98 × 767.98
  4. Step 4: Simplify right side
    2,411.82x = 2,778,518.19
  5. Step 5: Solve for x
    x = 2,778,518.19/2,411.82
  6. Step 6: Final answer
    x = 1,152.04

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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.