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Finding the Fourth Proportional to 2,467.55, 3,701.94 and 712.52

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Solution

The fourth proportional to 2,467.55, 3,701.94 and 712.52 is: 1,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.55 : 3,701.94 = 712.52 : x
  2. Step 2: Convert to fraction form
    2,467.55/3,701.94 = 712.52/x
  3. Step 3: Cross multiply
    2,467.55x = 3,701.94 × 712.52
  4. Step 4: Simplify right side
    2,467.55x = 2,637,706.29
  5. Step 5: Solve for x
    x = 2,637,706.29/2,467.55
  6. Step 6: Final answer
    x = 1,068.96

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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.