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Finding the Fourth Proportional to 2,295.33, 3,446.51 and 2,023.71

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Solution

The fourth proportional to 2,295.33, 3,446.51 and 2,023.71 is: 3,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.33 : 3,446.51 = 2,023.71 : x
  2. Step 2: Convert to fraction form
    2,295.33/3,446.51 = 2,023.71/x
  3. Step 3: Cross multiply
    2,295.33x = 3,446.51 × 2,023.71
  4. Step 4: Simplify right side
    2,295.33x = 6,974,726.63
  5. Step 5: Solve for x
    x = 6,974,726.63/2,295.33
  6. Step 6: Final answer
    x = 3,038.66

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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.