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Finding the Fourth Proportional to 1,658.41, 2,475.95 and 1,266.35

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Solution

The fourth proportional to 1,658.41, 2,475.95 and 1,266.35 is: 1,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.41 : 2,475.95 = 1,266.35 : x
  2. Step 2: Convert to fraction form
    1,658.41/2,475.95 = 1,266.35/x
  3. Step 3: Cross multiply
    1,658.41x = 2,475.95 × 1,266.35
  4. Step 4: Simplify right side
    1,658.41x = 3,135,400.57
  5. Step 5: Solve for x
    x = 3,135,400.57/1,658.41
  6. Step 6: Final answer
    x = 1,890.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.