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Finding the Fourth Proportional to 2,974.02, 4,460.68 and 782.92

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Solution

The fourth proportional to 2,974.02, 4,460.68 and 782.92 is: 1,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.02 : 4,460.68 = 782.92 : x
  2. Step 2: Convert to fraction form
    2,974.02/4,460.68 = 782.92/x
  3. Step 3: Cross multiply
    2,974.02x = 4,460.68 × 782.92
  4. Step 4: Simplify right side
    2,974.02x = 3,492,372.48
  5. Step 5: Solve for x
    x = 3,492,372.48/2,974.02
  6. Step 6: Final answer
    x = 1,174.29

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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.