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Finding the Fourth Proportional to 2,095.93, 2,891.45 and 1,422.92

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Solution

The fourth proportional to 2,095.93, 2,891.45 and 1,422.92 is: 1,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.93 : 2,891.45 = 1,422.92 : x
  2. Step 2: Convert to fraction form
    2,095.93/2,891.45 = 1,422.92/x
  3. Step 3: Cross multiply
    2,095.93x = 2,891.45 × 1,422.92
  4. Step 4: Simplify right side
    2,095.93x = 4,114,297.56
  5. Step 5: Solve for x
    x = 4,114,297.56/2,095.93
  6. Step 6: Final answer
    x = 1,962.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.