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Finding the Fourth Proportional to 1,880.59, 2,594.74 and 1,084.15

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Solution

The fourth proportional to 1,880.59, 2,594.74 and 1,084.15 is: 1,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.59 : 2,594.74 = 1,084.15 : x
  2. Step 2: Convert to fraction form
    1,880.59/2,594.74 = 1,084.15/x
  3. Step 3: Cross multiply
    1,880.59x = 2,594.74 × 1,084.15
  4. Step 4: Simplify right side
    1,880.59x = 2,813,087.37
  5. Step 5: Solve for x
    x = 2,813,087.37/1,880.59
  6. Step 6: Final answer
    x = 1,495.85

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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.