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Finding the Fourth Proportional to 2,175.57, 3,263.76 and 714.83

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Solution

The fourth proportional to 2,175.57, 3,263.76 and 714.83 is: 1,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.57 : 3,263.76 = 714.83 : x
  2. Step 2: Convert to fraction form
    2,175.57/3,263.76 = 714.83/x
  3. Step 3: Cross multiply
    2,175.57x = 3,263.76 × 714.83
  4. Step 4: Simplify right side
    2,175.57x = 2,333,017.24
  5. Step 5: Solve for x
    x = 2,333,017.24/2,175.57
  6. Step 6: Final answer
    x = 1,072.37

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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.