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Finding the Fourth Proportional to 2,132.46, 2,943.01 and 1,188.40

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Solution

The fourth proportional to 2,132.46, 2,943.01 and 1,188.40 is: 1,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.46 : 2,943.01 = 1,188.40 : x
  2. Step 2: Convert to fraction form
    2,132.46/2,943.01 = 1,188.40/x
  3. Step 3: Cross multiply
    2,132.46x = 2,943.01 × 1,188.40
  4. Step 4: Simplify right side
    2,132.46x = 3,497,477.47
  5. Step 5: Solve for x
    x = 3,497,477.47/2,132.46
  6. Step 6: Final answer
    x = 1,640.12

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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.