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Finding the Fourth Proportional to 1,540.01, 2,303.54 and 1,229.51

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Solution

The fourth proportional to 1,540.01, 2,303.54 and 1,229.51 is: 1,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.01 : 2,303.54 = 1,229.51 : x
  2. Step 2: Convert to fraction form
    1,540.01/2,303.54 = 1,229.51/x
  3. Step 3: Cross multiply
    1,540.01x = 2,303.54 × 1,229.51
  4. Step 4: Simplify right side
    1,540.01x = 2,832,219.32
  5. Step 5: Solve for x
    x = 2,832,219.32/1,540.01
  6. Step 6: Final answer
    x = 1,839.09

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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.