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Finding the Fourth Proportional to 1,548.60, 2,316.02 and 1,376.48

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Solution

The fourth proportional to 1,548.60, 2,316.02 and 1,376.48 is: 2,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.60 : 2,316.02 = 1,376.48 : x
  2. Step 2: Convert to fraction form
    1,548.60/2,316.02 = 1,376.48/x
  3. Step 3: Cross multiply
    1,548.60x = 2,316.02 × 1,376.48
  4. Step 4: Simplify right side
    1,548.60x = 3,187,936.75
  5. Step 5: Solve for x
    x = 3,187,936.75/1,548.60
  6. Step 6: Final answer
    x = 2,058.59

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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.