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Finding the Fourth Proportional to 2,195.04, 3,291.75 and 945.48

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Solution

The fourth proportional to 2,195.04, 3,291.75 and 945.48 is: 1,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.04 : 3,291.75 = 945.48 : x
  2. Step 2: Convert to fraction form
    2,195.04/3,291.75 = 945.48/x
  3. Step 3: Cross multiply
    2,195.04x = 3,291.75 × 945.48
  4. Step 4: Simplify right side
    2,195.04x = 3,112,283.79
  5. Step 5: Solve for x
    x = 3,112,283.79/2,195.04
  6. Step 6: Final answer
    x = 1,417.87

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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.