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Finding the Fourth Proportional to 1,423.44, 2,131.59 and 901.86

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Solution

The fourth proportional to 1,423.44, 2,131.59 and 901.86 is: 1,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.44 : 2,131.59 = 901.86 : x
  2. Step 2: Convert to fraction form
    1,423.44/2,131.59 = 901.86/x
  3. Step 3: Cross multiply
    1,423.44x = 2,131.59 × 901.86
  4. Step 4: Simplify right side
    1,423.44x = 1,922,395.76
  5. Step 5: Solve for x
    x = 1,922,395.76/1,423.44
  6. Step 6: Final answer
    x = 1,350.53

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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.