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Finding the Fourth Proportional to 2,053.39, 3,080.64 and 592.66

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Solution

The fourth proportional to 2,053.39, 3,080.64 and 592.66 is: 889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.39 : 3,080.64 = 592.66 : x
  2. Step 2: Convert to fraction form
    2,053.39/3,080.64 = 592.66/x
  3. Step 3: Cross multiply
    2,053.39x = 3,080.64 × 592.66
  4. Step 4: Simplify right side
    2,053.39x = 1,825,772.10
  5. Step 5: Solve for x
    x = 1,825,772.10/2,053.39
  6. Step 6: Final answer
    x = 889.15

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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.