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Finding the Fourth Proportional to 2,053.40, 3,080.60 and 592.52

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Solution

The fourth proportional to 2,053.40, 3,080.60 and 592.52 is: 888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.40 : 3,080.60 = 592.52 : x
  2. Step 2: Convert to fraction form
    2,053.40/3,080.60 = 592.52/x
  3. Step 3: Cross multiply
    2,053.40x = 3,080.60 × 592.52
  4. Step 4: Simplify right side
    2,053.40x = 1,825,317.11
  5. Step 5: Solve for x
    x = 1,825,317.11/2,053.40
  6. Step 6: Final answer
    x = 888.92

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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.