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Finding the Fourth Proportional to 1,419.91, 2,129.86 and 393.91

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Solution

The fourth proportional to 1,419.91, 2,129.86 and 393.91 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.91 : 2,129.86 = 393.91 : x
  2. Step 2: Convert to fraction form
    1,419.91/2,129.86 = 393.91/x
  3. Step 3: Cross multiply
    1,419.91x = 2,129.86 × 393.91
  4. Step 4: Simplify right side
    1,419.91x = 838,973.15
  5. Step 5: Solve for x
    x = 838,973.15/1,419.91
  6. Step 6: Final answer
    x = 590.86

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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.