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Finding the Fourth Proportional to 2,283.75, 3,425.58 and 1,113.57

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Solution

The fourth proportional to 2,283.75, 3,425.58 and 1,113.57 is: 1,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.75 : 3,425.58 = 1,113.57 : x
  2. Step 2: Convert to fraction form
    2,283.75/3,425.58 = 1,113.57/x
  3. Step 3: Cross multiply
    2,283.75x = 3,425.58 × 1,113.57
  4. Step 4: Simplify right side
    2,283.75x = 3,814,623.12
  5. Step 5: Solve for x
    x = 3,814,623.12/2,283.75
  6. Step 6: Final answer
    x = 1,670.33

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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.