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Finding the Fourth Proportional to 2,160.64, 2,981.22 and 1,276.24

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Solution

The fourth proportional to 2,160.64, 2,981.22 and 1,276.24 is: 1,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.64 : 2,981.22 = 1,276.24 : x
  2. Step 2: Convert to fraction form
    2,160.64/2,981.22 = 1,276.24/x
  3. Step 3: Cross multiply
    2,160.64x = 2,981.22 × 1,276.24
  4. Step 4: Simplify right side
    2,160.64x = 3,804,752.21
  5. Step 5: Solve for x
    x = 3,804,752.21/2,160.64
  6. Step 6: Final answer
    x = 1,760.94

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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.