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Finding the Fourth Proportional to 1,433.14, 2,149.87 and 877.58

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Solution

The fourth proportional to 1,433.14, 2,149.87 and 877.58 is: 1,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.14 : 2,149.87 = 877.58 : x
  2. Step 2: Convert to fraction form
    1,433.14/2,149.87 = 877.58/x
  3. Step 3: Cross multiply
    1,433.14x = 2,149.87 × 877.58
  4. Step 4: Simplify right side
    1,433.14x = 1,886,682.91
  5. Step 5: Solve for x
    x = 1,886,682.91/1,433.14
  6. Step 6: Final answer
    x = 1,316.47

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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.