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Finding the Fourth Proportional to 1,765.83, 2,435.49 and 1,158.96

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Solution

The fourth proportional to 1,765.83, 2,435.49 and 1,158.96 is: 1,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.83 : 2,435.49 = 1,158.96 : x
  2. Step 2: Convert to fraction form
    1,765.83/2,435.49 = 1,158.96/x
  3. Step 3: Cross multiply
    1,765.83x = 2,435.49 × 1,158.96
  4. Step 4: Simplify right side
    1,765.83x = 2,822,635.49
  5. Step 5: Solve for x
    x = 2,822,635.49/1,765.83
  6. Step 6: Final answer
    x = 1,598.48

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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.