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Finding the Fourth Proportional to 3,055.71, 4,216.82 and 1,658.46

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Solution

The fourth proportional to 3,055.71, 4,216.82 and 1,658.46 is: 2,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.71 : 4,216.82 = 1,658.46 : x
  2. Step 2: Convert to fraction form
    3,055.71/4,216.82 = 1,658.46/x
  3. Step 3: Cross multiply
    3,055.71x = 4,216.82 × 1,658.46
  4. Step 4: Simplify right side
    3,055.71x = 6,993,419.00
  5. Step 5: Solve for x
    x = 6,993,419.00/3,055.71
  6. Step 6: Final answer
    x = 2,288.64

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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.