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Finding the Fourth Proportional to 1,535.96, 2,303.94 and 878.04

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Solution

The fourth proportional to 1,535.96, 2,303.94 and 878.04 is: 1,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.96 : 2,303.94 = 878.04 : x
  2. Step 2: Convert to fraction form
    1,535.96/2,303.94 = 878.04/x
  3. Step 3: Cross multiply
    1,535.96x = 2,303.94 × 878.04
  4. Step 4: Simplify right side
    1,535.96x = 2,022,954.77
  5. Step 5: Solve for x
    x = 2,022,954.77/1,535.96
  6. Step 6: Final answer
    x = 1,317.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.