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Finding the Fourth Proportional to 4,468.26, 6,700.68 and 1,505.91

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Solution

The fourth proportional to 4,468.26, 6,700.68 and 1,505.91 is: 2,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.26 : 6,700.68 = 1,505.91 : x
  2. Step 2: Convert to fraction form
    4,468.26/6,700.68 = 1,505.91/x
  3. Step 3: Cross multiply
    4,468.26x = 6,700.68 × 1,505.91
  4. Step 4: Simplify right side
    4,468.26x = 10,090,621.02
  5. Step 5: Solve for x
    x = 10,090,621.02/4,468.26
  6. Step 6: Final answer
    x = 2,258.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.