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Finding the Fourth Proportional to 1,880.67, 2,594.78 and 1,172.17

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Solution

The fourth proportional to 1,880.67, 2,594.78 and 1,172.17 is: 1,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.67 : 2,594.78 = 1,172.17 : x
  2. Step 2: Convert to fraction form
    1,880.67/2,594.78 = 1,172.17/x
  3. Step 3: Cross multiply
    1,880.67x = 2,594.78 × 1,172.17
  4. Step 4: Simplify right side
    1,880.67x = 3,041,531.64
  5. Step 5: Solve for x
    x = 3,041,531.64/1,880.67
  6. Step 6: Final answer
    x = 1,617.26

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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.