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Finding the Fourth Proportional to 1,424.90, 2,137.76 and 591.81

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Solution

The fourth proportional to 1,424.90, 2,137.76 and 591.81 is: 887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.90 : 2,137.76 = 591.81 : x
  2. Step 2: Convert to fraction form
    1,424.90/2,137.76 = 591.81/x
  3. Step 3: Cross multiply
    1,424.90x = 2,137.76 × 591.81
  4. Step 4: Simplify right side
    1,424.90x = 1,265,147.75
  5. Step 5: Solve for x
    x = 1,265,147.75/1,424.90
  6. Step 6: Final answer
    x = 887.89

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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.