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Finding the Fourth Proportional to 3,118.96, 4,678.39 and 810.46

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Solution

The fourth proportional to 3,118.96, 4,678.39 and 810.46 is: 1,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.96 : 4,678.39 = 810.46 : x
  2. Step 2: Convert to fraction form
    3,118.96/4,678.39 = 810.46/x
  3. Step 3: Cross multiply
    3,118.96x = 4,678.39 × 810.46
  4. Step 4: Simplify right side
    3,118.96x = 3,791,647.96
  5. Step 5: Solve for x
    x = 3,791,647.96/3,118.96
  6. Step 6: Final answer
    x = 1,215.68

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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.