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Finding the Fourth Proportional to 2,513.76, 3,770.80 and 1,053.08

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Solution

The fourth proportional to 2,513.76, 3,770.80 and 1,053.08 is: 1,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.76 : 3,770.80 = 1,053.08 : x
  2. Step 2: Convert to fraction form
    2,513.76/3,770.80 = 1,053.08/x
  3. Step 3: Cross multiply
    2,513.76x = 3,770.80 × 1,053.08
  4. Step 4: Simplify right side
    2,513.76x = 3,970,954.06
  5. Step 5: Solve for x
    x = 3,970,954.06/2,513.76
  6. Step 6: Final answer
    x = 1,579.69

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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.