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Finding the Fourth Proportional to 2,053.19, 3,079.33 and 592.46

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Solution

The fourth proportional to 2,053.19, 3,079.33 and 592.46 is: 888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.19 : 3,079.33 = 592.46 : x
  2. Step 2: Convert to fraction form
    2,053.19/3,079.33 = 592.46/x
  3. Step 3: Cross multiply
    2,053.19x = 3,079.33 × 592.46
  4. Step 4: Simplify right side
    2,053.19x = 1,824,361.49
  5. Step 5: Solve for x
    x = 1,824,361.49/2,053.19
  6. Step 6: Final answer
    x = 888.55

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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.