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Finding the Fourth Proportional to 2,053.41, 3,079.67 and 592.17

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Solution

The fourth proportional to 2,053.41, 3,079.67 and 592.17 is: 888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.41 : 3,079.67 = 592.17 : x
  2. Step 2: Convert to fraction form
    2,053.41/3,079.67 = 592.17/x
  3. Step 3: Cross multiply
    2,053.41x = 3,079.67 × 592.17
  4. Step 4: Simplify right side
    2,053.41x = 1,823,685.22
  5. Step 5: Solve for x
    x = 1,823,685.22/2,053.41
  6. Step 6: Final answer
    x = 888.13

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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.