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Finding the Fourth Proportional to 2,053.65, 3,080.88 and 592.82

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Solution

The fourth proportional to 2,053.65, 3,080.88 and 592.82 is: 889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.65 : 3,080.88 = 592.82 : x
  2. Step 2: Convert to fraction form
    2,053.65/3,080.88 = 592.82/x
  3. Step 3: Cross multiply
    2,053.65x = 3,080.88 × 592.82
  4. Step 4: Simplify right side
    2,053.65x = 1,826,391.88
  5. Step 5: Solve for x
    x = 1,826,391.88/2,053.65
  6. Step 6: Final answer
    x = 889.34

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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.