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Finding the Fourth Proportional to 3,005.44, 4,509.78 and 1,466.44

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Solution

The fourth proportional to 3,005.44, 4,509.78 and 1,466.44 is: 2,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.44 : 4,509.78 = 1,466.44 : x
  2. Step 2: Convert to fraction form
    3,005.44/4,509.78 = 1,466.44/x
  3. Step 3: Cross multiply
    3,005.44x = 4,509.78 × 1,466.44
  4. Step 4: Simplify right side
    3,005.44x = 6,613,305.01
  5. Step 5: Solve for x
    x = 6,613,305.01/3,005.44
  6. Step 6: Final answer
    x = 2,200.45

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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.