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Finding the Fourth Proportional to 2,127.63, 3,191.45 and 588.63

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Solution

The fourth proportional to 2,127.63, 3,191.45 and 588.63 is: 882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.63 : 3,191.45 = 588.63 : x
  2. Step 2: Convert to fraction form
    2,127.63/3,191.45 = 588.63/x
  3. Step 3: Cross multiply
    2,127.63x = 3,191.45 × 588.63
  4. Step 4: Simplify right side
    2,127.63x = 1,878,584.69
  5. Step 5: Solve for x
    x = 1,878,584.69/2,127.63
  6. Step 6: Final answer
    x = 882.95

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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.