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Finding the Fourth Proportional to 1,419.81, 2,127.74 and 541.40

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Solution

The fourth proportional to 1,419.81, 2,127.74 and 541.40 is: 811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.81 : 2,127.74 = 541.40 : x
  2. Step 2: Convert to fraction form
    1,419.81/2,127.74 = 541.40/x
  3. Step 3: Cross multiply
    1,419.81x = 2,127.74 × 541.40
  4. Step 4: Simplify right side
    1,419.81x = 1,151,945.09
  5. Step 5: Solve for x
    x = 1,151,945.09/1,419.81
  6. Step 6: Final answer
    x = 811.34

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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.