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Finding the Fourth Proportional to 2,689.23, 3,702.56 and 2,294.67

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Solution

The fourth proportional to 2,689.23, 3,702.56 and 2,294.67 is: 3,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.23 : 3,702.56 = 2,294.67 : x
  2. Step 2: Convert to fraction form
    2,689.23/3,702.56 = 2,294.67/x
  3. Step 3: Cross multiply
    2,689.23x = 3,702.56 × 2,294.67
  4. Step 4: Simplify right side
    2,689.23x = 8,496,141.88
  5. Step 5: Solve for x
    x = 8,496,141.88/2,689.23
  6. Step 6: Final answer
    x = 3,159.32

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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.