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Finding the Fourth Proportional to 1,581.74, 2,372.24 and 607.62

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Solution

The fourth proportional to 1,581.74, 2,372.24 and 607.62 is: 911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.74 : 2,372.24 = 607.62 : x
  2. Step 2: Convert to fraction form
    1,581.74/2,372.24 = 607.62/x
  3. Step 3: Cross multiply
    1,581.74x = 2,372.24 × 607.62
  4. Step 4: Simplify right side
    1,581.74x = 1,441,417.43
  5. Step 5: Solve for x
    x = 1,441,417.43/1,581.74
  6. Step 6: Final answer
    x = 911.29

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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.