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Finding the Fourth Proportional to 1,569.53, 2,165.31 and 940.08

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Solution

The fourth proportional to 1,569.53, 2,165.31 and 940.08 is: 1,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.53 : 2,165.31 = 940.08 : x
  2. Step 2: Convert to fraction form
    1,569.53/2,165.31 = 940.08/x
  3. Step 3: Cross multiply
    1,569.53x = 2,165.31 × 940.08
  4. Step 4: Simplify right side
    1,569.53x = 2,035,564.62
  5. Step 5: Solve for x
    x = 2,035,564.62/1,569.53
  6. Step 6: Final answer
    x = 1,296.93

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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.