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Finding the Fourth Proportional to 1,785.23, 2,678.11 and 552.74

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Solution

The fourth proportional to 1,785.23, 2,678.11 and 552.74 is: 829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.23 : 2,678.11 = 552.74 : x
  2. Step 2: Convert to fraction form
    1,785.23/2,678.11 = 552.74/x
  3. Step 3: Cross multiply
    1,785.23x = 2,678.11 × 552.74
  4. Step 4: Simplify right side
    1,785.23x = 1,480,282.37
  5. Step 5: Solve for x
    x = 1,480,282.37/1,785.23
  6. Step 6: Final answer
    x = 829.18

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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.