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Finding the Fourth Proportional to 3,230.03, 4,461.77 and 2,603

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Solution

The fourth proportional to 3,230.03, 4,461.77 and 2,603 is: 3,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.03 : 4,461.77 = 2,603 : x
  2. Step 2: Convert to fraction form
    3,230.03/4,461.77 = 2,603/x
  3. Step 3: Cross multiply
    3,230.03x = 4,461.77 × 2,603
  4. Step 4: Simplify right side
    3,230.03x = 11,613,987.31
  5. Step 5: Solve for x
    x = 11,613,987.31/3,230.03
  6. Step 6: Final answer
    x = 3,595.63

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