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Finding the Fourth Proportional to 2,301.89, 3,450.76 and 840.01

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Solution

The fourth proportional to 2,301.89, 3,450.76 and 840.01 is: 1,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.89 : 3,450.76 = 840.01 : x
  2. Step 2: Convert to fraction form
    2,301.89/3,450.76 = 840.01/x
  3. Step 3: Cross multiply
    2,301.89x = 3,450.76 × 840.01
  4. Step 4: Simplify right side
    2,301.89x = 2,898,672.91
  5. Step 5: Solve for x
    x = 2,898,672.91/2,301.89
  6. Step 6: Final answer
    x = 1,259.26

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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.