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Finding the Fourth Proportional to 2,297.93, 3,445.87 and 654.10

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Solution

The fourth proportional to 2,297.93, 3,445.87 and 654.10 is: 980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.93 : 3,445.87 = 654.10 : x
  2. Step 2: Convert to fraction form
    2,297.93/3,445.87 = 654.10/x
  3. Step 3: Cross multiply
    2,297.93x = 3,445.87 × 654.10
  4. Step 4: Simplify right side
    2,297.93x = 2,253,933.32
  5. Step 5: Solve for x
    x = 2,253,933.32/2,297.93
  6. Step 6: Final answer
    x = 980.86

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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.