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Finding the Fourth Proportional to 2,347.92, 3,520.80 and 886.14

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Solution

The fourth proportional to 2,347.92, 3,520.80 and 886.14 is: 1,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.92 : 3,520.80 = 886.14 : x
  2. Step 2: Convert to fraction form
    2,347.92/3,520.80 = 886.14/x
  3. Step 3: Cross multiply
    2,347.92x = 3,520.80 × 886.14
  4. Step 4: Simplify right side
    2,347.92x = 3,119,921.71
  5. Step 5: Solve for x
    x = 3,119,921.71/2,347.92
  6. Step 6: Final answer
    x = 1,328.80

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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.