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Finding the Fourth Proportional to 1,639.76, 2,264.00 and 1,535.19

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Solution

The fourth proportional to 1,639.76, 2,264.00 and 1,535.19 is: 2,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.76 : 2,264.00 = 1,535.19 : x
  2. Step 2: Convert to fraction form
    1,639.76/2,264.00 = 1,535.19/x
  3. Step 3: Cross multiply
    1,639.76x = 2,264.00 × 1,535.19
  4. Step 4: Simplify right side
    1,639.76x = 3,475,672.18
  5. Step 5: Solve for x
    x = 3,475,672.18/1,639.76
  6. Step 6: Final answer
    x = 2,119.63

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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.