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Finding the Fourth Proportional to 1,548.81, 2,136.06 and 1,313.37

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Solution

The fourth proportional to 1,548.81, 2,136.06 and 1,313.37 is: 1,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.81 : 2,136.06 = 1,313.37 : x
  2. Step 2: Convert to fraction form
    1,548.81/2,136.06 = 1,313.37/x
  3. Step 3: Cross multiply
    1,548.81x = 2,136.06 × 1,313.37
  4. Step 4: Simplify right side
    1,548.81x = 2,805,437.12
  5. Step 5: Solve for x
    x = 2,805,437.12/1,548.81
  6. Step 6: Final answer
    x = 1,811.35

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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.