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Finding the Fourth Proportional to 2,103.79, 3,140.89 and 1,607.60

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Solution

The fourth proportional to 2,103.79, 3,140.89 and 1,607.60 is: 2,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.79 : 3,140.89 = 1,607.60 : x
  2. Step 2: Convert to fraction form
    2,103.79/3,140.89 = 1,607.60/x
  3. Step 3: Cross multiply
    2,103.79x = 3,140.89 × 1,607.60
  4. Step 4: Simplify right side
    2,103.79x = 5,049,294.76
  5. Step 5: Solve for x
    x = 5,049,294.76/2,103.79
  6. Step 6: Final answer
    x = 2,400.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.