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Finding the Fourth Proportional to 1,504.88, 2,077.42 and 1,106.54

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Solution

The fourth proportional to 1,504.88, 2,077.42 and 1,106.54 is: 1,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.88 : 2,077.42 = 1,106.54 : x
  2. Step 2: Convert to fraction form
    1,504.88/2,077.42 = 1,106.54/x
  3. Step 3: Cross multiply
    1,504.88x = 2,077.42 × 1,106.54
  4. Step 4: Simplify right side
    1,504.88x = 2,298,748.33
  5. Step 5: Solve for x
    x = 2,298,748.33/1,504.88
  6. Step 6: Final answer
    x = 1,527.53

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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.