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Finding the Fourth Proportional to 2,044.96, 3,066.93 and 658.45

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Solution

The fourth proportional to 2,044.96, 3,066.93 and 658.45 is: 987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.96 : 3,066.93 = 658.45 : x
  2. Step 2: Convert to fraction form
    2,044.96/3,066.93 = 658.45/x
  3. Step 3: Cross multiply
    2,044.96x = 3,066.93 × 658.45
  4. Step 4: Simplify right side
    2,044.96x = 2,019,406.64
  5. Step 5: Solve for x
    x = 2,019,406.64/2,044.96
  6. Step 6: Final answer
    x = 987.50

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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.