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Finding the Fourth Proportional to 2,132.76, 2,943.50 and 1,607.88

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Solution

The fourth proportional to 2,132.76, 2,943.50 and 1,607.88 is: 2,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.76 : 2,943.50 = 1,607.88 : x
  2. Step 2: Convert to fraction form
    2,132.76/2,943.50 = 1,607.88/x
  3. Step 3: Cross multiply
    2,132.76x = 2,943.50 × 1,607.88
  4. Step 4: Simplify right side
    2,132.76x = 4,732,786.74
  5. Step 5: Solve for x
    x = 4,732,786.74/2,132.76
  6. Step 6: Final answer
    x = 2,219.09

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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.