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Finding the Fourth Proportional to 2,835.43, 4,252.53 and 887.38

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Solution

The fourth proportional to 2,835.43, 4,252.53 and 887.38 is: 1,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.43 : 4,252.53 = 887.38 : x
  2. Step 2: Convert to fraction form
    2,835.43/4,252.53 = 887.38/x
  3. Step 3: Cross multiply
    2,835.43x = 4,252.53 × 887.38
  4. Step 4: Simplify right side
    2,835.43x = 3,773,588.81
  5. Step 5: Solve for x
    x = 3,773,588.81/2,835.43
  6. Step 6: Final answer
    x = 1,330.87

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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.