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Finding the Fourth Proportional to 1,385.12, 1,911.60 and 1,035.20

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Solution

The fourth proportional to 1,385.12, 1,911.60 and 1,035.20 is: 1,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.12 : 1,911.60 = 1,035.20 : x
  2. Step 2: Convert to fraction form
    1,385.12/1,911.60 = 1,035.20/x
  3. Step 3: Cross multiply
    1,385.12x = 1,911.60 × 1,035.20
  4. Step 4: Simplify right side
    1,385.12x = 1,978,888.32
  5. Step 5: Solve for x
    x = 1,978,888.32/1,385.12
  6. Step 6: Final answer
    x = 1,428.68

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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.