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Finding the Fourth Proportional to 2,127.81, 3,188.64 and 1,345.62

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Solution

The fourth proportional to 2,127.81, 3,188.64 and 1,345.62 is: 2,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.81 : 3,188.64 = 1,345.62 : x
  2. Step 2: Convert to fraction form
    2,127.81/3,188.64 = 1,345.62/x
  3. Step 3: Cross multiply
    2,127.81x = 3,188.64 × 1,345.62
  4. Step 4: Simplify right side
    2,127.81x = 4,290,697.76
  5. Step 5: Solve for x
    x = 4,290,697.76/2,127.81
  6. Step 6: Final answer
    x = 2,016.49

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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.