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Finding the Fourth Proportional to 2,535.66, 3,499.17 and 1,416.62

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Solution

The fourth proportional to 2,535.66, 3,499.17 and 1,416.62 is: 1,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.66 : 3,499.17 = 1,416.62 : x
  2. Step 2: Convert to fraction form
    2,535.66/3,499.17 = 1,416.62/x
  3. Step 3: Cross multiply
    2,535.66x = 3,499.17 × 1,416.62
  4. Step 4: Simplify right side
    2,535.66x = 4,956,976.71
  5. Step 5: Solve for x
    x = 4,956,976.71/2,535.66
  6. Step 6: Final answer
    x = 1,954.91

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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.