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Finding the Fourth Proportional to 2,003.75, 3,005.04 and 617.06

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Solution

The fourth proportional to 2,003.75, 3,005.04 and 617.06 is: 925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.75 : 3,005.04 = 617.06 : x
  2. Step 2: Convert to fraction form
    2,003.75/3,005.04 = 617.06/x
  3. Step 3: Cross multiply
    2,003.75x = 3,005.04 × 617.06
  4. Step 4: Simplify right side
    2,003.75x = 1,854,274.96
  5. Step 5: Solve for x
    x = 1,854,274.96/2,003.75
  6. Step 6: Final answer
    x = 925.40

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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.