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Finding the Fourth Proportional to 2,572.36, 3,854.06 and 1,599.16

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Solution

The fourth proportional to 2,572.36, 3,854.06 and 1,599.16 is: 2,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.36 : 3,854.06 = 1,599.16 : x
  2. Step 2: Convert to fraction form
    2,572.36/3,854.06 = 1,599.16/x
  3. Step 3: Cross multiply
    2,572.36x = 3,854.06 × 1,599.16
  4. Step 4: Simplify right side
    2,572.36x = 6,163,258.59
  5. Step 5: Solve for x
    x = 6,163,258.59/2,572.36
  6. Step 6: Final answer
    x = 2,395.95

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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.