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Finding the Fourth Proportional to 3,487.81, 4,813.19 and 2,051.81

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Solution

The fourth proportional to 3,487.81, 4,813.19 and 2,051.81 is: 2,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.81 : 4,813.19 = 2,051.81 : x
  2. Step 2: Convert to fraction form
    3,487.81/4,813.19 = 2,051.81/x
  3. Step 3: Cross multiply
    3,487.81x = 4,813.19 × 2,051.81
  4. Step 4: Simplify right side
    3,487.81x = 9,875,751.37
  5. Step 5: Solve for x
    x = 9,875,751.37/3,487.81
  6. Step 6: Final answer
    x = 2,831.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.