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Finding the Fourth Proportional to 1,888.14, 2,605.40 and 1,102.08

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Solution

The fourth proportional to 1,888.14, 2,605.40 and 1,102.08 is: 1,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.14 : 2,605.40 = 1,102.08 : x
  2. Step 2: Convert to fraction form
    1,888.14/2,605.40 = 1,102.08/x
  3. Step 3: Cross multiply
    1,888.14x = 2,605.40 × 1,102.08
  4. Step 4: Simplify right side
    1,888.14x = 2,871,359.23
  5. Step 5: Solve for x
    x = 2,871,359.23/1,888.14
  6. Step 6: Final answer
    x = 1,520.73

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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.