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Finding the Fourth Proportional to 2,345.76, 3,517.92 and 885.24

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Solution

The fourth proportional to 2,345.76, 3,517.92 and 885.24 is: 1,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.76 : 3,517.92 = 885.24 : x
  2. Step 2: Convert to fraction form
    2,345.76/3,517.92 = 885.24/x
  3. Step 3: Cross multiply
    2,345.76x = 3,517.92 × 885.24
  4. Step 4: Simplify right side
    2,345.76x = 3,114,203.50
  5. Step 5: Solve for x
    x = 3,114,203.50/2,345.76
  6. Step 6: Final answer
    x = 1,327.59

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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.