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Finding the Fourth Proportional to 1,801.80, 2,697.30 and 1,607.40

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Solution

The fourth proportional to 1,801.80, 2,697.30 and 1,607.40 is: 2,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.80 : 2,697.30 = 1,607.40 : x
  2. Step 2: Convert to fraction form
    1,801.80/2,697.30 = 1,607.40/x
  3. Step 3: Cross multiply
    1,801.80x = 2,697.30 × 1,607.40
  4. Step 4: Simplify right side
    1,801.80x = 4,335,640.02
  5. Step 5: Solve for x
    x = 4,335,640.02/1,801.80
  6. Step 6: Final answer
    x = 2,406.28

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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.