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Finding the Fourth Proportional to 1,822.14, 2,733.23 and 555.71

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Solution

The fourth proportional to 1,822.14, 2,733.23 and 555.71 is: 833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.14 : 2,733.23 = 555.71 : x
  2. Step 2: Convert to fraction form
    1,822.14/2,733.23 = 555.71/x
  3. Step 3: Cross multiply
    1,822.14x = 2,733.23 × 555.71
  4. Step 4: Simplify right side
    1,822.14x = 1,518,883.24
  5. Step 5: Solve for x
    x = 1,518,883.24/1,822.14
  6. Step 6: Final answer
    x = 833.57

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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.