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Finding the Fourth Proportional to 1,785.41, 2,678.61 and 745.90

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Solution

The fourth proportional to 1,785.41, 2,678.61 and 745.90 is: 1,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.41 : 2,678.61 = 745.90 : x
  2. Step 2: Convert to fraction form
    1,785.41/2,678.61 = 745.90/x
  3. Step 3: Cross multiply
    1,785.41x = 2,678.61 × 745.90
  4. Step 4: Simplify right side
    1,785.41x = 1,997,975.20
  5. Step 5: Solve for x
    x = 1,997,975.20/1,785.41
  6. Step 6: Final answer
    x = 1,119.06

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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.