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Finding the Fourth Proportional to 2,424.66, 3,346.40 and 1,761.26

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Solution

The fourth proportional to 2,424.66, 3,346.40 and 1,761.26 is: 2,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.66 : 3,346.40 = 1,761.26 : x
  2. Step 2: Convert to fraction form
    2,424.66/3,346.40 = 1,761.26/x
  3. Step 3: Cross multiply
    2,424.66x = 3,346.40 × 1,761.26
  4. Step 4: Simplify right side
    2,424.66x = 5,893,880.46
  5. Step 5: Solve for x
    x = 5,893,880.46/2,424.66
  6. Step 6: Final answer
    x = 2,430.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.