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Finding the Fourth Proportional to 1,529.45, 2,290.40 and 878.93

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Solution

The fourth proportional to 1,529.45, 2,290.40 and 878.93 is: 1,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.45 : 2,290.40 = 878.93 : x
  2. Step 2: Convert to fraction form
    1,529.45/2,290.40 = 878.93/x
  3. Step 3: Cross multiply
    1,529.45x = 2,290.40 × 878.93
  4. Step 4: Simplify right side
    1,529.45x = 2,013,096.88
  5. Step 5: Solve for x
    x = 2,013,096.88/1,529.45
  6. Step 6: Final answer
    x = 1,316.22

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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.