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Finding the Fourth Proportional to 2,127.40, 3,191.45 and 666.20

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Solution

The fourth proportional to 2,127.40, 3,191.45 and 666.20 is: 999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.40 : 3,191.45 = 666.20 : x
  2. Step 2: Convert to fraction form
    2,127.40/3,191.45 = 666.20/x
  3. Step 3: Cross multiply
    2,127.40x = 3,191.45 × 666.20
  4. Step 4: Simplify right side
    2,127.40x = 2,126,148.64
  5. Step 5: Solve for x
    x = 2,126,148.64/2,127.40
  6. Step 6: Final answer
    x = 999.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.