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Finding the Fourth Proportional to 4,175.46, 6,264 and 1,580.22

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Solution

The fourth proportional to 4,175.46, 6,264 and 1,580.22 is: 2,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.46 : 6,264 = 1,580.22 : x
  2. Step 2: Convert to fraction form
    4,175.46/6,264 = 1,580.22/x
  3. Step 3: Cross multiply
    4,175.46x = 6,264 × 1,580.22
  4. Step 4: Simplify right side
    4,175.46x = 9,898,498.08
  5. Step 5: Solve for x
    x = 9,898,498.08/4,175.46
  6. Step 6: Final answer
    x = 2,370.64

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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.