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Finding the Fourth Proportional to 1,690.14, 2,535.15 and 535.92

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Solution

The fourth proportional to 1,690.14, 2,535.15 and 535.92 is: 803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.14 : 2,535.15 = 535.92 : x
  2. Step 2: Convert to fraction form
    1,690.14/2,535.15 = 535.92/x
  3. Step 3: Cross multiply
    1,690.14x = 2,535.15 × 535.92
  4. Step 4: Simplify right side
    1,690.14x = 1,358,637.59
  5. Step 5: Solve for x
    x = 1,358,637.59/1,690.14
  6. Step 6: Final answer
    x = 803.86

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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.