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Finding the Fourth Proportional to 1,658.58, 2,289.82 and 1,474.05

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Solution

The fourth proportional to 1,658.58, 2,289.82 and 1,474.05 is: 2,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.58 : 2,289.82 = 1,474.05 : x
  2. Step 2: Convert to fraction form
    1,658.58/2,289.82 = 1,474.05/x
  3. Step 3: Cross multiply
    1,658.58x = 2,289.82 × 1,474.05
  4. Step 4: Simplify right side
    1,658.58x = 3,375,303.96
  5. Step 5: Solve for x
    x = 3,375,303.96/1,658.58
  6. Step 6: Final answer
    x = 2,035.06

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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.