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Finding the Fourth Proportional to 1,871.41, 2,801.68 and 1,089.02

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Solution

The fourth proportional to 1,871.41, 2,801.68 and 1,089.02 is: 1,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.41 : 2,801.68 = 1,089.02 : x
  2. Step 2: Convert to fraction form
    1,871.41/2,801.68 = 1,089.02/x
  3. Step 3: Cross multiply
    1,871.41x = 2,801.68 × 1,089.02
  4. Step 4: Simplify right side
    1,871.41x = 3,051,089.84
  5. Step 5: Solve for x
    x = 3,051,089.84/1,871.41
  6. Step 6: Final answer
    x = 1,630.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.