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Finding the Fourth Proportional to 1,658.35, 2,288.06 and 1,028.57

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Solution

The fourth proportional to 1,658.35, 2,288.06 and 1,028.57 is: 1,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.35 : 2,288.06 = 1,028.57 : x
  2. Step 2: Convert to fraction form
    1,658.35/2,288.06 = 1,028.57/x
  3. Step 3: Cross multiply
    1,658.35x = 2,288.06 × 1,028.57
  4. Step 4: Simplify right side
    1,658.35x = 2,353,429.87
  5. Step 5: Solve for x
    x = 2,353,429.87/1,658.35
  6. Step 6: Final answer
    x = 1,419.14

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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.