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Finding the Fourth Proportional to 2,590.34, 3,885.49 and 642.54

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Solution

The fourth proportional to 2,590.34, 3,885.49 and 642.54 is: 963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.34 : 3,885.49 = 642.54 : x
  2. Step 2: Convert to fraction form
    2,590.34/3,885.49 = 642.54/x
  3. Step 3: Cross multiply
    2,590.34x = 3,885.49 × 642.54
  4. Step 4: Simplify right side
    2,590.34x = 2,496,582.74
  5. Step 5: Solve for x
    x = 2,496,582.74/2,590.34
  6. Step 6: Final answer
    x = 963.81

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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.