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Finding the Fourth Proportional to 1,765.76, 2,641.35 and 1,605.38

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Solution

The fourth proportional to 1,765.76, 2,641.35 and 1,605.38 is: 2,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.76 : 2,641.35 = 1,605.38 : x
  2. Step 2: Convert to fraction form
    1,765.76/2,641.35 = 1,605.38/x
  3. Step 3: Cross multiply
    1,765.76x = 2,641.35 × 1,605.38
  4. Step 4: Simplify right side
    1,765.76x = 4,240,377.07
  5. Step 5: Solve for x
    x = 4,240,377.07/1,765.76
  6. Step 6: Final answer
    x = 2,401.44

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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.