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Finding the Fourth Proportional to 1,548.93, 2,138.09 and 1,025.13

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Solution

The fourth proportional to 1,548.93, 2,138.09 and 1,025.13 is: 1,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.93 : 2,138.09 = 1,025.13 : x
  2. Step 2: Convert to fraction form
    1,548.93/2,138.09 = 1,025.13/x
  3. Step 3: Cross multiply
    1,548.93x = 2,138.09 × 1,025.13
  4. Step 4: Simplify right side
    1,548.93x = 2,191,815.08
  5. Step 5: Solve for x
    x = 2,191,815.08/1,548.93
  6. Step 6: Final answer
    x = 1,415.05

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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.