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Finding the Fourth Proportional to 1,241.40, 1,855.01 and 893.10

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Solution

The fourth proportional to 1,241.40, 1,855.01 and 893.10 is: 1,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.40 : 1,855.01 = 893.10 : x
  2. Step 2: Convert to fraction form
    1,241.40/1,855.01 = 893.10/x
  3. Step 3: Cross multiply
    1,241.40x = 1,855.01 × 893.10
  4. Step 4: Simplify right side
    1,241.40x = 1,656,704.97
  5. Step 5: Solve for x
    x = 1,656,704.97/1,241.40
  6. Step 6: Final answer
    x = 1,334.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.