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Finding the Fourth Proportional to 2,045.18, 3,066.39 and 658.10

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Solution

The fourth proportional to 2,045.18, 3,066.39 and 658.10 is: 986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.18 : 3,066.39 = 658.10 : x
  2. Step 2: Convert to fraction form
    2,045.18/3,066.39 = 658.10/x
  3. Step 3: Cross multiply
    2,045.18x = 3,066.39 × 658.10
  4. Step 4: Simplify right side
    2,045.18x = 2,017,991.26
  5. Step 5: Solve for x
    x = 2,017,991.26/2,045.18
  6. Step 6: Final answer
    x = 986.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.