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Finding the Fourth Proportional to 2,301.60, 3,450.30 and 840.42

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Solution

The fourth proportional to 2,301.60, 3,450.30 and 840.42 is: 1,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.60 : 3,450.30 = 840.42 : x
  2. Step 2: Convert to fraction form
    2,301.60/3,450.30 = 840.42/x
  3. Step 3: Cross multiply
    2,301.60x = 3,450.30 × 840.42
  4. Step 4: Simplify right side
    2,301.60x = 2,899,701.13
  5. Step 5: Solve for x
    x = 2,899,701.13/2,301.60
  6. Step 6: Final answer
    x = 1,259.86

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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.