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Finding the Fourth Proportional to 2,174.85, 3,001.07 and 1,335.60

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Solution

The fourth proportional to 2,174.85, 3,001.07 and 1,335.60 is: 1,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.85 : 3,001.07 = 1,335.60 : x
  2. Step 2: Convert to fraction form
    2,174.85/3,001.07 = 1,335.60/x
  3. Step 3: Cross multiply
    2,174.85x = 3,001.07 × 1,335.60
  4. Step 4: Simplify right side
    2,174.85x = 4,008,232.43
  5. Step 5: Solve for x
    x = 4,008,232.43/2,174.85
  6. Step 6: Final answer
    x = 1,842.99

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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.