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Finding the Fourth Proportional to 2,175.76, 3,003.08 and 1,337.01

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Solution

The fourth proportional to 2,175.76, 3,003.08 and 1,337.01 is: 1,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.76 : 3,003.08 = 1,337.01 : x
  2. Step 2: Convert to fraction form
    2,175.76/3,003.08 = 1,337.01/x
  3. Step 3: Cross multiply
    2,175.76x = 3,003.08 × 1,337.01
  4. Step 4: Simplify right side
    2,175.76x = 4,015,130.04
  5. Step 5: Solve for x
    x = 4,015,130.04/2,175.76
  6. Step 6: Final answer
    x = 1,845.39

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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.