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Finding the Fourth Proportional to 1,765.48, 2,435.87 and 1,103.00

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Solution

The fourth proportional to 1,765.48, 2,435.87 and 1,103.00 is: 1,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.48 : 2,435.87 = 1,103.00 : x
  2. Step 2: Convert to fraction form
    1,765.48/2,435.87 = 1,103.00/x
  3. Step 3: Cross multiply
    1,765.48x = 2,435.87 × 1,103.00
  4. Step 4: Simplify right side
    1,765.48x = 2,686,765.18
  5. Step 5: Solve for x
    x = 2,686,765.18/1,765.48
  6. Step 6: Final answer
    x = 1,521.83

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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.