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Finding the Fourth Proportional to 2,175.70, 3,263.51 and 714.26

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Solution

The fourth proportional to 2,175.70, 3,263.51 and 714.26 is: 1,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.70 : 3,263.51 = 714.26 : x
  2. Step 2: Convert to fraction form
    2,175.70/3,263.51 = 714.26/x
  3. Step 3: Cross multiply
    2,175.70x = 3,263.51 × 714.26
  4. Step 4: Simplify right side
    2,175.70x = 2,330,994.65
  5. Step 5: Solve for x
    x = 2,330,994.65/2,175.70
  6. Step 6: Final answer
    x = 1,071.38

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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.