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Finding the Fourth Proportional to 1,658.36, 2,488.26 and 1,476.20

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Solution

The fourth proportional to 1,658.36, 2,488.26 and 1,476.20 is: 2,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.36 : 2,488.26 = 1,476.20 : x
  2. Step 2: Convert to fraction form
    1,658.36/2,488.26 = 1,476.20/x
  3. Step 3: Cross multiply
    1,658.36x = 2,488.26 × 1,476.20
  4. Step 4: Simplify right side
    1,658.36x = 3,673,169.41
  5. Step 5: Solve for x
    x = 3,673,169.41/1,658.36
  6. Step 6: Final answer
    x = 2,214.94

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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.