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Finding the Fourth Proportional to 2,262.47, 3,127.95 and 2,164.46

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Solution

The fourth proportional to 2,262.47, 3,127.95 and 2,164.46 is: 2,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.47 : 3,127.95 = 2,164.46 : x
  2. Step 2: Convert to fraction form
    2,262.47/3,127.95 = 2,164.46/x
  3. Step 3: Cross multiply
    2,262.47x = 3,127.95 × 2,164.46
  4. Step 4: Simplify right side
    2,262.47x = 6,770,307.02
  5. Step 5: Solve for x
    x = 6,770,307.02/2,262.47
  6. Step 6: Final answer
    x = 2,992.45

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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.