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Finding the Fourth Proportional to 1,590.57, 2,195.09 and 882.45

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Solution

The fourth proportional to 1,590.57, 2,195.09 and 882.45 is: 1,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.57 : 2,195.09 = 882.45 : x
  2. Step 2: Convert to fraction form
    1,590.57/2,195.09 = 882.45/x
  3. Step 3: Cross multiply
    1,590.57x = 2,195.09 × 882.45
  4. Step 4: Simplify right side
    1,590.57x = 1,937,057.17
  5. Step 5: Solve for x
    x = 1,937,057.17/1,590.57
  6. Step 6: Final answer
    x = 1,217.84

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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.