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Finding the Fourth Proportional to 6,854.42, 10,281.54 and 1,660.26

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Solution

The fourth proportional to 6,854.42, 10,281.54 and 1,660.26 is: 2,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.42 : 10,281.54 = 1,660.26 : x
  2. Step 2: Convert to fraction form
    6,854.42/10,281.54 = 1,660.26/x
  3. Step 3: Cross multiply
    6,854.42x = 10,281.54 × 1,660.26
  4. Step 4: Simplify right side
    6,854.42x = 17,070,029.60
  5. Step 5: Solve for x
    x = 17,070,029.60/6,854.42
  6. Step 6: Final answer
    x = 2,490.37

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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.