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Finding the Fourth Proportional to 1,423.84, 1,963.87 and 1,099.26

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Solution

The fourth proportional to 1,423.84, 1,963.87 and 1,099.26 is: 1,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.84 : 1,963.87 = 1,099.26 : x
  2. Step 2: Convert to fraction form
    1,423.84/1,963.87 = 1,099.26/x
  3. Step 3: Cross multiply
    1,423.84x = 1,963.87 × 1,099.26
  4. Step 4: Simplify right side
    1,423.84x = 2,158,803.74
  5. Step 5: Solve for x
    x = 2,158,803.74/1,423.84
  6. Step 6: Final answer
    x = 1,516.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.