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Finding the Fourth Proportional to 1,581.69, 2,182.73 and 883.07

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Solution

The fourth proportional to 1,581.69, 2,182.73 and 883.07 is: 1,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.69 : 2,182.73 = 883.07 : x
  2. Step 2: Convert to fraction form
    1,581.69/2,182.73 = 883.07/x
  3. Step 3: Cross multiply
    1,581.69x = 2,182.73 × 883.07
  4. Step 4: Simplify right side
    1,581.69x = 1,927,503.38
  5. Step 5: Solve for x
    x = 1,927,503.38/1,581.69
  6. Step 6: Final answer
    x = 1,218.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.