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Finding the Fourth Proportional to 1,581.63, 2,373.07 and 801.21

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Solution

The fourth proportional to 1,581.63, 2,373.07 and 801.21 is: 1,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.63 : 2,373.07 = 801.21 : x
  2. Step 2: Convert to fraction form
    1,581.63/2,373.07 = 801.21/x
  3. Step 3: Cross multiply
    1,581.63x = 2,373.07 × 801.21
  4. Step 4: Simplify right side
    1,581.63x = 1,901,327.41
  5. Step 5: Solve for x
    x = 1,901,327.41/1,581.63
  6. Step 6: Final answer
    x = 1,202.13

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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.