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Finding the Fourth Proportional to 2,303.23, 3,448.15 and 2,065.77

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Solution

The fourth proportional to 2,303.23, 3,448.15 and 2,065.77 is: 3,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.23 : 3,448.15 = 2,065.77 : x
  2. Step 2: Convert to fraction form
    2,303.23/3,448.15 = 2,065.77/x
  3. Step 3: Cross multiply
    2,303.23x = 3,448.15 × 2,065.77
  4. Step 4: Simplify right side
    2,303.23x = 7,123,084.83
  5. Step 5: Solve for x
    x = 7,123,084.83/2,303.23
  6. Step 6: Final answer
    x = 3,092.65

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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.