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Finding the Fourth Proportional to 1,566.23, 2,160.91 and 902.99

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Solution

The fourth proportional to 1,566.23, 2,160.91 and 902.99 is: 1,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.23 : 2,160.91 = 902.99 : x
  2. Step 2: Convert to fraction form
    1,566.23/2,160.91 = 902.99/x
  3. Step 3: Cross multiply
    1,566.23x = 2,160.91 × 902.99
  4. Step 4: Simplify right side
    1,566.23x = 1,951,280.12
  5. Step 5: Solve for x
    x = 1,951,280.12/1,566.23
  6. Step 6: Final answer
    x = 1,245.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.