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Finding the Fourth Proportional to 1,569.00, 2,362.64 and 1,161.03

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Solution

The fourth proportional to 1,569.00, 2,362.64 and 1,161.03 is: 1,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.00 : 2,362.64 = 1,161.03 : x
  2. Step 2: Convert to fraction form
    1,569.00/2,362.64 = 1,161.03/x
  3. Step 3: Cross multiply
    1,569.00x = 2,362.64 × 1,161.03
  4. Step 4: Simplify right side
    1,569.00x = 2,743,098.97
  5. Step 5: Solve for x
    x = 2,743,098.97/1,569.00
  6. Step 6: Final answer
    x = 1,748.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.