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Finding the Fourth Proportional to 2,896.42, 4,346.91 and 1,666.18

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Solution

The fourth proportional to 2,896.42, 4,346.91 and 1,666.18 is: 2,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.42 : 4,346.91 = 1,666.18 : x
  2. Step 2: Convert to fraction form
    2,896.42/4,346.91 = 1,666.18/x
  3. Step 3: Cross multiply
    2,896.42x = 4,346.91 × 1,666.18
  4. Step 4: Simplify right side
    2,896.42x = 7,242,734.50
  5. Step 5: Solve for x
    x = 7,242,734.50/2,896.42
  6. Step 6: Final answer
    x = 2,500.58

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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.