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Finding the Fourth Proportional to 1,540.99, 2,301.02 and 1,225.09

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Solution

The fourth proportional to 1,540.99, 2,301.02 and 1,225.09 is: 1,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.99 : 2,301.02 = 1,225.09 : x
  2. Step 2: Convert to fraction form
    1,540.99/2,301.02 = 1,225.09/x
  3. Step 3: Cross multiply
    1,540.99x = 2,301.02 × 1,225.09
  4. Step 4: Simplify right side
    1,540.99x = 2,818,956.59
  5. Step 5: Solve for x
    x = 2,818,956.59/1,540.99
  6. Step 6: Final answer
    x = 1,829.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.