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Finding the Fourth Proportional to 2,391.54, 3,586.83 and 810.09

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Solution

The fourth proportional to 2,391.54, 3,586.83 and 810.09 is: 1,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.54 : 3,586.83 = 810.09 : x
  2. Step 2: Convert to fraction form
    2,391.54/3,586.83 = 810.09/x
  3. Step 3: Cross multiply
    2,391.54x = 3,586.83 × 810.09
  4. Step 4: Simplify right side
    2,391.54x = 2,905,655.11
  5. Step 5: Solve for x
    x = 2,905,655.11/2,391.54
  6. Step 6: Final answer
    x = 1,214.97

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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.