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Finding the Fourth Proportional to 3,085.66, 4,253.78 and 2,199.93

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Solution

The fourth proportional to 3,085.66, 4,253.78 and 2,199.93 is: 3,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.66 : 4,253.78 = 2,199.93 : x
  2. Step 2: Convert to fraction form
    3,085.66/4,253.78 = 2,199.93/x
  3. Step 3: Cross multiply
    3,085.66x = 4,253.78 × 2,199.93
  4. Step 4: Simplify right side
    3,085.66x = 9,358,002.47
  5. Step 5: Solve for x
    x = 9,358,002.47/3,085.66
  6. Step 6: Final answer
    x = 3,032.74

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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.