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Finding the Fourth Proportional to 2,084.81, 2,877.45 and 1,376.70

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Solution

The fourth proportional to 2,084.81, 2,877.45 and 1,376.70 is: 1,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.81 : 2,877.45 = 1,376.70 : x
  2. Step 2: Convert to fraction form
    2,084.81/2,877.45 = 1,376.70/x
  3. Step 3: Cross multiply
    2,084.81x = 2,877.45 × 1,376.70
  4. Step 4: Simplify right side
    2,084.81x = 3,961,373.33
  5. Step 5: Solve for x
    x = 3,961,373.33/2,084.81
  6. Step 6: Final answer
    x = 1,900.11

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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.