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Finding the Fourth Proportional to 1,544.94, 2,132.26 and 882.01

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Solution

The fourth proportional to 1,544.94, 2,132.26 and 882.01 is: 1,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.94 : 2,132.26 = 882.01 : x
  2. Step 2: Convert to fraction form
    1,544.94/2,132.26 = 882.01/x
  3. Step 3: Cross multiply
    1,544.94x = 2,132.26 × 882.01
  4. Step 4: Simplify right side
    1,544.94x = 1,880,663.98
  5. Step 5: Solve for x
    x = 1,880,663.98/1,544.94
  6. Step 6: Final answer
    x = 1,217.31

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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.