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Finding the Fourth Proportional to 3,003.63, 4,144.99 and 1,677.32

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Solution

The fourth proportional to 3,003.63, 4,144.99 and 1,677.32 is: 2,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.63 : 4,144.99 = 1,677.32 : x
  2. Step 2: Convert to fraction form
    3,003.63/4,144.99 = 1,677.32/x
  3. Step 3: Cross multiply
    3,003.63x = 4,144.99 × 1,677.32
  4. Step 4: Simplify right side
    3,003.63x = 6,952,466.24
  5. Step 5: Solve for x
    x = 6,952,466.24/3,003.63
  6. Step 6: Final answer
    x = 2,314.69

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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.