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Finding the Fourth Proportional to 2,324.67, 3,486.95 and 569.69

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Solution

The fourth proportional to 2,324.67, 3,486.95 and 569.69 is: 854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.67 : 3,486.95 = 569.69 : x
  2. Step 2: Convert to fraction form
    2,324.67/3,486.95 = 569.69/x
  3. Step 3: Cross multiply
    2,324.67x = 3,486.95 × 569.69
  4. Step 4: Simplify right side
    2,324.67x = 1,986,480.55
  5. Step 5: Solve for x
    x = 1,986,480.55/2,324.67
  6. Step 6: Final answer
    x = 854.52

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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.