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Finding the Fourth Proportional to 2,264.92, 3,122.31 and 1,590.67

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Solution

The fourth proportional to 2,264.92, 3,122.31 and 1,590.67 is: 2,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.92 : 3,122.31 = 1,590.67 : x
  2. Step 2: Convert to fraction form
    2,264.92/3,122.31 = 1,590.67/x
  3. Step 3: Cross multiply
    2,264.92x = 3,122.31 × 1,590.67
  4. Step 4: Simplify right side
    2,264.92x = 4,966,574.72
  5. Step 5: Solve for x
    x = 4,966,574.72/2,264.92
  6. Step 6: Final answer
    x = 2,192.83

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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.