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Finding the Fourth Proportional to 1,419.42, 2,129.37 and 726.54

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Solution

The fourth proportional to 1,419.42, 2,129.37 and 726.54 is: 1,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.42 : 2,129.37 = 726.54 : x
  2. Step 2: Convert to fraction form
    1,419.42/2,129.37 = 726.54/x
  3. Step 3: Cross multiply
    1,419.42x = 2,129.37 × 726.54
  4. Step 4: Simplify right side
    1,419.42x = 1,547,072.48
  5. Step 5: Solve for x
    x = 1,547,072.48/1,419.42
  6. Step 6: Final answer
    x = 1,089.93

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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.