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Finding the Fourth Proportional to 2,359.23, 3,538.84 and 627.86

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Solution

The fourth proportional to 2,359.23, 3,538.84 and 627.86 is: 941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.23 : 3,538.84 = 627.86 : x
  2. Step 2: Convert to fraction form
    2,359.23/3,538.84 = 627.86/x
  3. Step 3: Cross multiply
    2,359.23x = 3,538.84 × 627.86
  4. Step 4: Simplify right side
    2,359.23x = 2,221,875.25
  5. Step 5: Solve for x
    x = 2,221,875.25/2,359.23
  6. Step 6: Final answer
    x = 941.78

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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.