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Finding the Fourth Proportional to 2,610.85, 3,916.29 and 663.06

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Solution

The fourth proportional to 2,610.85, 3,916.29 and 663.06 is: 994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.85 : 3,916.29 = 663.06 : x
  2. Step 2: Convert to fraction form
    2,610.85/3,916.29 = 663.06/x
  3. Step 3: Cross multiply
    2,610.85x = 3,916.29 × 663.06
  4. Step 4: Simplify right side
    2,610.85x = 2,596,735.25
  5. Step 5: Solve for x
    x = 2,596,735.25/2,610.85
  6. Step 6: Final answer
    x = 994.59

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1.5x scale

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.