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Finding the Fourth Proportional to 1,937.49, 2,902.23 and 1,607.66

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Solution

The fourth proportional to 1,937.49, 2,902.23 and 1,607.66 is: 2,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.49 : 2,902.23 = 1,607.66 : x
  2. Step 2: Convert to fraction form
    1,937.49/2,902.23 = 1,607.66/x
  3. Step 3: Cross multiply
    1,937.49x = 2,902.23 × 1,607.66
  4. Step 4: Simplify right side
    1,937.49x = 4,665,784.57
  5. Step 5: Solve for x
    x = 4,665,784.57/1,937.49
  6. Step 6: Final answer
    x = 2,408.16

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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.