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Finding the Fourth Proportional to 2,610.58, 3,916.05 and 967.09

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Solution

The fourth proportional to 2,610.58, 3,916.05 and 967.09 is: 1,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.58 : 3,916.05 = 967.09 : x
  2. Step 2: Convert to fraction form
    2,610.58/3,916.05 = 967.09/x
  3. Step 3: Cross multiply
    2,610.58x = 3,916.05 × 967.09
  4. Step 4: Simplify right side
    2,610.58x = 3,787,172.79
  5. Step 5: Solve for x
    x = 3,787,172.79/2,610.58
  6. Step 6: Final answer
    x = 1,450.70

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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.