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Finding the Fourth Proportional to 6,854.42, 10,281.64 and 1,660.28

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Solution

The fourth proportional to 6,854.42, 10,281.64 and 1,660.28 is: 2,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.42 : 10,281.64 = 1,660.28 : x
  2. Step 2: Convert to fraction form
    6,854.42/10,281.64 = 1,660.28/x
  3. Step 3: Cross multiply
    6,854.42x = 10,281.64 × 1,660.28
  4. Step 4: Simplify right side
    6,854.42x = 17,070,401.26
  5. Step 5: Solve for x
    x = 17,070,401.26/6,854.42
  6. Step 6: Final answer
    x = 2,490.42

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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.