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Finding the Fourth Proportional to 2,175.06, 3,262.93 and 713.88

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Solution

The fourth proportional to 2,175.06, 3,262.93 and 713.88 is: 1,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.06 : 3,262.93 = 713.88 : x
  2. Step 2: Convert to fraction form
    2,175.06/3,262.93 = 713.88/x
  3. Step 3: Cross multiply
    2,175.06x = 3,262.93 × 713.88
  4. Step 4: Simplify right side
    2,175.06x = 2,329,340.47
  5. Step 5: Solve for x
    x = 2,329,340.47/2,175.06
  6. Step 6: Final answer
    x = 1,070.93

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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.