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Finding the Fourth Proportional to 1,518.38, 2,095.30 and 855.22

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Solution

The fourth proportional to 1,518.38, 2,095.30 and 855.22 is: 1,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.38 : 2,095.30 = 855.22 : x
  2. Step 2: Convert to fraction form
    1,518.38/2,095.30 = 855.22/x
  3. Step 3: Cross multiply
    1,518.38x = 2,095.30 × 855.22
  4. Step 4: Simplify right side
    1,518.38x = 1,791,942.47
  5. Step 5: Solve for x
    x = 1,791,942.47/1,518.38
  6. Step 6: Final answer
    x = 1,180.17

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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.