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Finding the Fourth Proportional to 1,752.43, 2,629.64 and 930.37

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Solution

The fourth proportional to 1,752.43, 2,629.64 and 930.37 is: 1,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.43 : 2,629.64 = 930.37 : x
  2. Step 2: Convert to fraction form
    1,752.43/2,629.64 = 930.37/x
  3. Step 3: Cross multiply
    1,752.43x = 2,629.64 × 930.37
  4. Step 4: Simplify right side
    1,752.43x = 2,446,538.17
  5. Step 5: Solve for x
    x = 2,446,538.17/1,752.43
  6. Step 6: Final answer
    x = 1,396.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.