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Finding the Fourth Proportional to 2,135.17, 2,947.88 and 1,636.88

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Solution

The fourth proportional to 2,135.17, 2,947.88 and 1,636.88 is: 2,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.17 : 2,947.88 = 1,636.88 : x
  2. Step 2: Convert to fraction form
    2,135.17/2,947.88 = 1,636.88/x
  3. Step 3: Cross multiply
    2,135.17x = 2,947.88 × 1,636.88
  4. Step 4: Simplify right side
    2,135.17x = 4,825,325.81
  5. Step 5: Solve for x
    x = 4,825,325.81/2,135.17
  6. Step 6: Final answer
    x = 2,259.93

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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.