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Finding the Fourth Proportional to 2,327.63, 3,491.47 and 572.63

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Solution

The fourth proportional to 2,327.63, 3,491.47 and 572.63 is: 858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.63 : 3,491.47 = 572.63 : x
  2. Step 2: Convert to fraction form
    2,327.63/3,491.47 = 572.63/x
  3. Step 3: Cross multiply
    2,327.63x = 3,491.47 × 572.63
  4. Step 4: Simplify right side
    2,327.63x = 1,999,316.82
  5. Step 5: Solve for x
    x = 1,999,316.82/2,327.63
  6. Step 6: Final answer
    x = 858.95

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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.