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Finding the Fourth Proportional to 2,295.83, 3,443.20 and 814.93

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Solution

The fourth proportional to 2,295.83, 3,443.20 and 814.93 is: 1,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.83 : 3,443.20 = 814.93 : x
  2. Step 2: Convert to fraction form
    2,295.83/3,443.20 = 814.93/x
  3. Step 3: Cross multiply
    2,295.83x = 3,443.20 × 814.93
  4. Step 4: Simplify right side
    2,295.83x = 2,805,966.98
  5. Step 5: Solve for x
    x = 2,805,966.98/2,295.83
  6. Step 6: Final answer
    x = 1,222.20

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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.