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Finding the Fourth Proportional to 2,072.41, 2,859.93 and 1,140.91

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Solution

The fourth proportional to 2,072.41, 2,859.93 and 1,140.91 is: 1,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.41 : 2,859.93 = 1,140.91 : x
  2. Step 2: Convert to fraction form
    2,072.41/2,859.93 = 1,140.91/x
  3. Step 3: Cross multiply
    2,072.41x = 2,859.93 × 1,140.91
  4. Step 4: Simplify right side
    2,072.41x = 3,262,922.74
  5. Step 5: Solve for x
    x = 3,262,922.74/2,072.41
  6. Step 6: Final answer
    x = 1,574.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.