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Finding the Fourth Proportional to 1,388.56, 2,085 and 1,102.36

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Solution

The fourth proportional to 1,388.56, 2,085 and 1,102.36 is: 1,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.56 : 2,085 = 1,102.36 : x
  2. Step 2: Convert to fraction form
    1,388.56/2,085 = 1,102.36/x
  3. Step 3: Cross multiply
    1,388.56x = 2,085 × 1,102.36
  4. Step 4: Simplify right side
    1,388.56x = 2,298,420.60
  5. Step 5: Solve for x
    x = 2,298,420.60/1,388.56
  6. Step 6: Final answer
    x = 1,655.25

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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.