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Finding the Fourth Proportional to 2,418.90, 3,337.84 and 1,410.46

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Solution

The fourth proportional to 2,418.90, 3,337.84 and 1,410.46 is: 1,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.90 : 3,337.84 = 1,410.46 : x
  2. Step 2: Convert to fraction form
    2,418.90/3,337.84 = 1,410.46/x
  3. Step 3: Cross multiply
    2,418.90x = 3,337.84 × 1,410.46
  4. Step 4: Simplify right side
    2,418.90x = 4,707,889.81
  5. Step 5: Solve for x
    x = 4,707,889.81/2,418.90
  6. Step 6: Final answer
    x = 1,946.29

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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.