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Finding the Fourth Proportional to 1,842.24, 2,542.32 and 1,014.24

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Solution

The fourth proportional to 1,842.24, 2,542.32 and 1,014.24 is: 1,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.24 : 2,542.32 = 1,014.24 : x
  2. Step 2: Convert to fraction form
    1,842.24/2,542.32 = 1,014.24/x
  3. Step 3: Cross multiply
    1,842.24x = 2,542.32 × 1,014.24
  4. Step 4: Simplify right side
    1,842.24x = 2,578,522.64
  5. Step 5: Solve for x
    x = 2,578,522.64/1,842.24
  6. Step 6: Final answer
    x = 1,399.67

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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.