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Finding the Fourth Proportional to 2,836, 4,253.63 and 1,080.53

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Solution

The fourth proportional to 2,836, 4,253.63 and 1,080.53 is: 1,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836 : 4,253.63 = 1,080.53 : x
  2. Step 2: Convert to fraction form
    2,836/4,253.63 = 1,080.53/x
  3. Step 3: Cross multiply
    2,836x = 4,253.63 × 1,080.53
  4. Step 4: Simplify right side
    2,836x = 4,596,174.82
  5. Step 5: Solve for x
    x = 4,596,174.82/2,836
  6. Step 6: Final answer
    x = 1,620.65

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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.