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Finding the Fourth Proportional to 2,418.66, 3,628.55 and 858.58

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Solution

The fourth proportional to 2,418.66, 3,628.55 and 858.58 is: 1,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.66 : 3,628.55 = 858.58 : x
  2. Step 2: Convert to fraction form
    2,418.66/3,628.55 = 858.58/x
  3. Step 3: Cross multiply
    2,418.66x = 3,628.55 × 858.58
  4. Step 4: Simplify right side
    2,418.66x = 3,115,400.46
  5. Step 5: Solve for x
    x = 3,115,400.46/2,418.66
  6. Step 6: Final answer
    x = 1,288.07

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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.