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Finding the Fourth Proportional to 2,084.13, 2,875.86 and 1,199.88

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Solution

The fourth proportional to 2,084.13, 2,875.86 and 1,199.88 is: 1,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.13 : 2,875.86 = 1,199.88 : x
  2. Step 2: Convert to fraction form
    2,084.13/2,875.86 = 1,199.88/x
  3. Step 3: Cross multiply
    2,084.13x = 2,875.86 × 1,199.88
  4. Step 4: Simplify right side
    2,084.13x = 3,450,686.90
  5. Step 5: Solve for x
    x = 3,450,686.90/2,084.13
  6. Step 6: Final answer
    x = 1,655.70

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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.