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Finding the Fourth Proportional to 1,762.49, 2,642.97 and 940.58

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Solution

The fourth proportional to 1,762.49, 2,642.97 and 940.58 is: 1,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.49 : 2,642.97 = 940.58 : x
  2. Step 2: Convert to fraction form
    1,762.49/2,642.97 = 940.58/x
  3. Step 3: Cross multiply
    1,762.49x = 2,642.97 × 940.58
  4. Step 4: Simplify right side
    1,762.49x = 2,485,924.72
  5. Step 5: Solve for x
    x = 2,485,924.72/1,762.49
  6. Step 6: Final answer
    x = 1,410.46

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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.