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Finding the Fourth Proportional to 2,366.31, 3,271.59 and 2,262.99

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Solution

The fourth proportional to 2,366.31, 3,271.59 and 2,262.99 is: 3,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.31 : 3,271.59 = 2,262.99 : x
  2. Step 2: Convert to fraction form
    2,366.31/3,271.59 = 2,262.99/x
  3. Step 3: Cross multiply
    2,366.31x = 3,271.59 × 2,262.99
  4. Step 4: Simplify right side
    2,366.31x = 7,403,575.45
  5. Step 5: Solve for x
    x = 7,403,575.45/2,366.31
  6. Step 6: Final answer
    x = 3,128.74

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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.