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Finding the Fourth Proportional to 3,055.95, 4,217.22 and 1,658.70

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Solution

The fourth proportional to 3,055.95, 4,217.22 and 1,658.70 is: 2,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.95 : 4,217.22 = 1,658.70 : x
  2. Step 2: Convert to fraction form
    3,055.95/4,217.22 = 1,658.70/x
  3. Step 3: Cross multiply
    3,055.95x = 4,217.22 × 1,658.70
  4. Step 4: Simplify right side
    3,055.95x = 6,995,102.81
  5. Step 5: Solve for x
    x = 6,995,102.81/3,055.95
  6. Step 6: Final answer
    x = 2,289.01

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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.