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Finding the Fourth Proportional to 2,444.51, 3,666.80 and 801.18

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Solution

The fourth proportional to 2,444.51, 3,666.80 and 801.18 is: 1,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.51 : 3,666.80 = 801.18 : x
  2. Step 2: Convert to fraction form
    2,444.51/3,666.80 = 801.18/x
  3. Step 3: Cross multiply
    2,444.51x = 3,666.80 × 801.18
  4. Step 4: Simplify right side
    2,444.51x = 2,937,762.82
  5. Step 5: Solve for x
    x = 2,937,762.82/2,444.51
  6. Step 6: Final answer
    x = 1,201.78

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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.