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Finding the Fourth Proportional to 1,880, 2,592.72 and 1,216.14

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Solution

The fourth proportional to 1,880, 2,592.72 and 1,216.14 is: 1,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880 : 2,592.72 = 1,216.14 : x
  2. Step 2: Convert to fraction form
    1,880/2,592.72 = 1,216.14/x
  3. Step 3: Cross multiply
    1,880x = 2,592.72 × 1,216.14
  4. Step 4: Simplify right side
    1,880x = 3,153,110.50
  5. Step 5: Solve for x
    x = 3,153,110.50/1,880
  6. Step 6: Final answer
    x = 1,677.19

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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.