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Finding the Fourth Proportional to 2,235.77, 3,084.91 and 1,240.91

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Solution

The fourth proportional to 2,235.77, 3,084.91 and 1,240.91 is: 1,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.77 : 3,084.91 = 1,240.91 : x
  2. Step 2: Convert to fraction form
    2,235.77/3,084.91 = 1,240.91/x
  3. Step 3: Cross multiply
    2,235.77x = 3,084.91 × 1,240.91
  4. Step 4: Simplify right side
    2,235.77x = 3,828,074.04
  5. Step 5: Solve for x
    x = 3,828,074.04/2,235.77
  6. Step 6: Final answer
    x = 1,712.20

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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.