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Finding the Fourth Proportional to 2,504.01, 3,754.66 and 1,410.51

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Solution

The fourth proportional to 2,504.01, 3,754.66 and 1,410.51 is: 2,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.01 : 3,754.66 = 1,410.51 : x
  2. Step 2: Convert to fraction form
    2,504.01/3,754.66 = 1,410.51/x
  3. Step 3: Cross multiply
    2,504.01x = 3,754.66 × 1,410.51
  4. Step 4: Simplify right side
    2,504.01x = 5,295,985.48
  5. Step 5: Solve for x
    x = 5,295,985.48/2,504.01
  6. Step 6: Final answer
    x = 2,115.00

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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.