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Finding the Fourth Proportional to 1,901.76, 2,619.18 and 1,765.68

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Solution

The fourth proportional to 1,901.76, 2,619.18 and 1,765.68 is: 2,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.76 : 2,619.18 = 1,765.68 : x
  2. Step 2: Convert to fraction form
    1,901.76/2,619.18 = 1,765.68/x
  3. Step 3: Cross multiply
    1,901.76x = 2,619.18 × 1,765.68
  4. Step 4: Simplify right side
    1,901.76x = 4,624,633.74
  5. Step 5: Solve for x
    x = 4,624,633.74/1,901.76
  6. Step 6: Final answer
    x = 2,431.77

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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.