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Finding the Fourth Proportional to 2,053.26, 3,080.40 and 592.42

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Solution

The fourth proportional to 2,053.26, 3,080.40 and 592.42 is: 888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.26 : 3,080.40 = 592.42 : x
  2. Step 2: Convert to fraction form
    2,053.26/3,080.40 = 592.42/x
  3. Step 3: Cross multiply
    2,053.26x = 3,080.40 × 592.42
  4. Step 4: Simplify right side
    2,053.26x = 1,824,890.57
  5. Step 5: Solve for x
    x = 1,824,890.57/2,053.26
  6. Step 6: Final answer
    x = 888.78

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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.