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Finding the Fourth Proportional to 2,101.86, 3,152.70 and 541.86

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Solution

The fourth proportional to 2,101.86, 3,152.70 and 541.86 is: 812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.86 : 3,152.70 = 541.86 : x
  2. Step 2: Convert to fraction form
    2,101.86/3,152.70 = 541.86/x
  3. Step 3: Cross multiply
    2,101.86x = 3,152.70 × 541.86
  4. Step 4: Simplify right side
    2,101.86x = 1,708,322.02
  5. Step 5: Solve for x
    x = 1,708,322.02/2,101.86
  6. Step 6: Final answer
    x = 812.77

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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.