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Finding the Fourth Proportional to 2,327.24, 3,490.80 and 572.24

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Solution

The fourth proportional to 2,327.24, 3,490.80 and 572.24 is: 858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.24 : 3,490.80 = 572.24 : x
  2. Step 2: Convert to fraction form
    2,327.24/3,490.80 = 572.24/x
  3. Step 3: Cross multiply
    2,327.24x = 3,490.80 × 572.24
  4. Step 4: Simplify right side
    2,327.24x = 1,997,575.39
  5. Step 5: Solve for x
    x = 1,997,575.39/2,327.24
  6. Step 6: Final answer
    x = 858.35

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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.