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Finding the Fourth Proportional to 2,535.87, 3,807.63 and 2,068.77

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Solution

The fourth proportional to 2,535.87, 3,807.63 and 2,068.77 is: 3,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.87 : 3,807.63 = 2,068.77 : x
  2. Step 2: Convert to fraction form
    2,535.87/3,807.63 = 2,068.77/x
  3. Step 3: Cross multiply
    2,535.87x = 3,807.63 × 2,068.77
  4. Step 4: Simplify right side
    2,535.87x = 7,877,110.72
  5. Step 5: Solve for x
    x = 7,877,110.72/2,535.87
  6. Step 6: Final answer
    x = 3,106.28

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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.