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Finding the Fourth Proportional to 2,301.70, 3,452.01 and 840.06

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Solution

The fourth proportional to 2,301.70, 3,452.01 and 840.06 is: 1,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.70 : 3,452.01 = 840.06 : x
  2. Step 2: Convert to fraction form
    2,301.70/3,452.01 = 840.06/x
  3. Step 3: Cross multiply
    2,301.70x = 3,452.01 × 840.06
  4. Step 4: Simplify right side
    2,301.70x = 2,899,895.52
  5. Step 5: Solve for x
    x = 2,899,895.52/2,301.70
  6. Step 6: Final answer
    x = 1,259.89

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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.