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Finding the Fourth Proportional to 2,301.30, 3,451.95 and 840.26

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Solution

The fourth proportional to 2,301.30, 3,451.95 and 840.26 is: 1,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.30 : 3,451.95 = 840.26 : x
  2. Step 2: Convert to fraction form
    2,301.30/3,451.95 = 840.26/x
  3. Step 3: Cross multiply
    2,301.30x = 3,451.95 × 840.26
  4. Step 4: Simplify right side
    2,301.30x = 2,900,535.51
  5. Step 5: Solve for x
    x = 2,900,535.51/2,301.30
  6. Step 6: Final answer
    x = 1,260.39

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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.