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Finding the Fourth Proportional to 2,444.58, 3,666.51 and 801.14

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Solution

The fourth proportional to 2,444.58, 3,666.51 and 801.14 is: 1,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.58 : 3,666.51 = 801.14 : x
  2. Step 2: Convert to fraction form
    2,444.58/3,666.51 = 801.14/x
  3. Step 3: Cross multiply
    2,444.58x = 3,666.51 × 801.14
  4. Step 4: Simplify right side
    2,444.58x = 2,937,369.49
  5. Step 5: Solve for x
    x = 2,937,369.49/2,444.58
  6. Step 6: Final answer
    x = 1,201.58

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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.