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Finding the Fourth Proportional to 1,590.20, 2,194.51 and 882.05

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Solution

The fourth proportional to 1,590.20, 2,194.51 and 882.05 is: 1,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.20 : 2,194.51 = 882.05 : x
  2. Step 2: Convert to fraction form
    1,590.20/2,194.51 = 882.05/x
  3. Step 3: Cross multiply
    1,590.20x = 2,194.51 × 882.05
  4. Step 4: Simplify right side
    1,590.20x = 1,935,667.55
  5. Step 5: Solve for x
    x = 1,935,667.55/1,590.20
  6. Step 6: Final answer
    x = 1,217.25

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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.