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Finding the Fourth Proportional to 2,902.97, 4,354.98 and 1,056.67

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Solution

The fourth proportional to 2,902.97, 4,354.98 and 1,056.67 is: 1,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.97 : 4,354.98 = 1,056.67 : x
  2. Step 2: Convert to fraction form
    2,902.97/4,354.98 = 1,056.67/x
  3. Step 3: Cross multiply
    2,902.97x = 4,354.98 × 1,056.67
  4. Step 4: Simplify right side
    2,902.97x = 4,601,776.72
  5. Step 5: Solve for x
    x = 4,601,776.72/2,902.97
  6. Step 6: Final answer
    x = 1,585.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.