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Finding the Fourth Proportional to 2,184.48, 3,014.48 and 1,189.67

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Solution

The fourth proportional to 2,184.48, 3,014.48 and 1,189.67 is: 1,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.48 : 3,014.48 = 1,189.67 : x
  2. Step 2: Convert to fraction form
    2,184.48/3,014.48 = 1,189.67/x
  3. Step 3: Cross multiply
    2,184.48x = 3,014.48 × 1,189.67
  4. Step 4: Simplify right side
    2,184.48x = 3,586,224.32
  5. Step 5: Solve for x
    x = 3,586,224.32/2,184.48
  6. Step 6: Final answer
    x = 1,641.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.