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Finding the Fourth Proportional to 1,429.90, 2,142.91 and 874.81

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Solution

The fourth proportional to 1,429.90, 2,142.91 and 874.81 is: 1,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.90 : 2,142.91 = 874.81 : x
  2. Step 2: Convert to fraction form
    1,429.90/2,142.91 = 874.81/x
  3. Step 3: Cross multiply
    1,429.90x = 2,142.91 × 874.81
  4. Step 4: Simplify right side
    1,429.90x = 1,874,631.55
  5. Step 5: Solve for x
    x = 1,874,631.55/1,429.90
  6. Step 6: Final answer
    x = 1,311.03

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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.