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Finding the Fourth Proportional to 1,765.56, 2,435.76 and 1,102.17

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Solution

The fourth proportional to 1,765.56, 2,435.76 and 1,102.17 is: 1,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.56 : 2,435.76 = 1,102.17 : x
  2. Step 2: Convert to fraction form
    1,765.56/2,435.76 = 1,102.17/x
  3. Step 3: Cross multiply
    1,765.56x = 2,435.76 × 1,102.17
  4. Step 4: Simplify right side
    1,765.56x = 2,684,621.60
  5. Step 5: Solve for x
    x = 2,684,621.60/1,765.56
  6. Step 6: Final answer
    x = 1,520.55

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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.