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Finding the Fourth Proportional to 1,527.51, 2,105.13 and 1,195.41

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Solution

The fourth proportional to 1,527.51, 2,105.13 and 1,195.41 is: 1,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.51 : 2,105.13 = 1,195.41 : x
  2. Step 2: Convert to fraction form
    1,527.51/2,105.13 = 1,195.41/x
  3. Step 3: Cross multiply
    1,527.51x = 2,105.13 × 1,195.41
  4. Step 4: Simplify right side
    1,527.51x = 2,516,493.45
  5. Step 5: Solve for x
    x = 2,516,493.45/1,527.51
  6. Step 6: Final answer
    x = 1,647.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.