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Finding the Fourth Proportional to 2,535.02, 3,802.74 and 891.94

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Solution

The fourth proportional to 2,535.02, 3,802.74 and 891.94 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.02 : 3,802.74 = 891.94 : x
  2. Step 2: Convert to fraction form
    2,535.02/3,802.74 = 891.94/x
  3. Step 3: Cross multiply
    2,535.02x = 3,802.74 × 891.94
  4. Step 4: Simplify right side
    2,535.02x = 3,391,815.92
  5. Step 5: Solve for x
    x = 3,391,815.92/2,535.02
  6. Step 6: Final answer
    x = 1,337.98

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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.