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Finding the Fourth Proportional to 2,534.96, 3,803 and 1,440.08

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Solution

The fourth proportional to 2,534.96, 3,803 and 1,440.08 is: 2,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.96 : 3,803 = 1,440.08 : x
  2. Step 2: Convert to fraction form
    2,534.96/3,803 = 1,440.08/x
  3. Step 3: Cross multiply
    2,534.96x = 3,803 × 1,440.08
  4. Step 4: Simplify right side
    2,534.96x = 5,476,624.24
  5. Step 5: Solve for x
    x = 5,476,624.24/2,534.96
  6. Step 6: Final answer
    x = 2,160.44

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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.