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Finding the Fourth Proportional to 2,283.63, 3,146.76 and 1,575.69

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Solution

The fourth proportional to 2,283.63, 3,146.76 and 1,575.69 is: 2,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.63 : 3,146.76 = 1,575.69 : x
  2. Step 2: Convert to fraction form
    2,283.63/3,146.76 = 1,575.69/x
  3. Step 3: Cross multiply
    2,283.63x = 3,146.76 × 1,575.69
  4. Step 4: Simplify right side
    2,283.63x = 4,958,318.26
  5. Step 5: Solve for x
    x = 4,958,318.26/2,283.63
  6. Step 6: Final answer
    x = 2,171.24

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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.