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Finding the Fourth Proportional to 1,354.14, 2,031.80 and 661.41

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Solution

The fourth proportional to 1,354.14, 2,031.80 and 661.41 is: 992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.14 : 2,031.80 = 661.41 : x
  2. Step 2: Convert to fraction form
    1,354.14/2,031.80 = 661.41/x
  3. Step 3: Cross multiply
    1,354.14x = 2,031.80 × 661.41
  4. Step 4: Simplify right side
    1,354.14x = 1,343,849.53
  5. Step 5: Solve for x
    x = 1,343,849.53/1,354.14
  6. Step 6: Final answer
    x = 992.40

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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.