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Finding the Fourth Proportional to 1,588.00, 2,189.88 and 1,139.11

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Solution

The fourth proportional to 1,588.00, 2,189.88 and 1,139.11 is: 1,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.00 : 2,189.88 = 1,139.11 : x
  2. Step 2: Convert to fraction form
    1,588.00/2,189.88 = 1,139.11/x
  3. Step 3: Cross multiply
    1,588.00x = 2,189.88 × 1,139.11
  4. Step 4: Simplify right side
    1,588.00x = 2,494,508.73
  5. Step 5: Solve for x
    x = 2,494,508.73/1,588.00
  6. Step 6: Final answer
    x = 1,570.85

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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.