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Finding the Fourth Proportional to 1,925.62, 2,884.10 and 1,193.12

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Solution

The fourth proportional to 1,925.62, 2,884.10 and 1,193.12 is: 1,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.62 : 2,884.10 = 1,193.12 : x
  2. Step 2: Convert to fraction form
    1,925.62/2,884.10 = 1,193.12/x
  3. Step 3: Cross multiply
    1,925.62x = 2,884.10 × 1,193.12
  4. Step 4: Simplify right side
    1,925.62x = 3,441,077.39
  5. Step 5: Solve for x
    x = 3,441,077.39/1,925.62
  6. Step 6: Final answer
    x = 1,787.00

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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.