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Finding the Fourth Proportional to 2,746.92, 4,122.18 and 2,564.67

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Solution

The fourth proportional to 2,746.92, 4,122.18 and 2,564.67 is: 3,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.92 : 4,122.18 = 2,564.67 : x
  2. Step 2: Convert to fraction form
    2,746.92/4,122.18 = 2,564.67/x
  3. Step 3: Cross multiply
    2,746.92x = 4,122.18 × 2,564.67
  4. Step 4: Simplify right side
    2,746.92x = 10,572,031.38
  5. Step 5: Solve for x
    x = 10,572,031.38/2,746.92
  6. Step 6: Final answer
    x = 3,848.69

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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.