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Finding the Fourth Proportional to 2,427.34, 3,640.25 and 1,548.59

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Solution

The fourth proportional to 2,427.34, 3,640.25 and 1,548.59 is: 2,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.34 : 3,640.25 = 1,548.59 : x
  2. Step 2: Convert to fraction form
    2,427.34/3,640.25 = 1,548.59/x
  3. Step 3: Cross multiply
    2,427.34x = 3,640.25 × 1,548.59
  4. Step 4: Simplify right side
    2,427.34x = 5,637,254.75
  5. Step 5: Solve for x
    x = 5,637,254.75/2,427.34
  6. Step 6: Final answer
    x = 2,322.40

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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.