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Finding the Fourth Proportional to 2,535.91, 3,802.23 and 1,056.16

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Solution

The fourth proportional to 2,535.91, 3,802.23 and 1,056.16 is: 1,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.91 : 3,802.23 = 1,056.16 : x
  2. Step 2: Convert to fraction form
    2,535.91/3,802.23 = 1,056.16/x
  3. Step 3: Cross multiply
    2,535.91x = 3,802.23 × 1,056.16
  4. Step 4: Simplify right side
    2,535.91x = 4,015,763.24
  5. Step 5: Solve for x
    x = 4,015,763.24/2,535.91
  6. Step 6: Final answer
    x = 1,583.56

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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.