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Finding the Fourth Proportional to 2,262.93, 3,123.12 and 2,164.51

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Solution

The fourth proportional to 2,262.93, 3,123.12 and 2,164.51 is: 2,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.93 : 3,123.12 = 2,164.51 : x
  2. Step 2: Convert to fraction form
    2,262.93/3,123.12 = 2,164.51/x
  3. Step 3: Cross multiply
    2,262.93x = 3,123.12 × 2,164.51
  4. Step 4: Simplify right side
    2,262.93x = 6,760,024.47
  5. Step 5: Solve for x
    x = 6,760,024.47/2,262.93
  6. Step 6: Final answer
    x = 2,987.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.