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Finding the Fourth Proportional to 2,613.74, 3,920.81 and 1,133.06

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Solution

The fourth proportional to 2,613.74, 3,920.81 and 1,133.06 is: 1,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.74 : 3,920.81 = 1,133.06 : x
  2. Step 2: Convert to fraction form
    2,613.74/3,920.81 = 1,133.06/x
  3. Step 3: Cross multiply
    2,613.74x = 3,920.81 × 1,133.06
  4. Step 4: Simplify right side
    2,613.74x = 4,442,487.71
  5. Step 5: Solve for x
    x = 4,442,487.71/2,613.74
  6. Step 6: Final answer
    x = 1,699.67

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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.