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Finding the Fourth Proportional to 2,083.73, 2,875.65 and 1,199.67

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Solution

The fourth proportional to 2,083.73, 2,875.65 and 1,199.67 is: 1,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.73 : 2,875.65 = 1,199.67 : x
  2. Step 2: Convert to fraction form
    2,083.73/2,875.65 = 1,199.67/x
  3. Step 3: Cross multiply
    2,083.73x = 2,875.65 × 1,199.67
  4. Step 4: Simplify right side
    2,083.73x = 3,449,831.04
  5. Step 5: Solve for x
    x = 3,449,831.04/2,083.73
  6. Step 6: Final answer
    x = 1,655.60

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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.