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Finding the Fourth Proportional to 1,693.22, 2,336.64 and 1,029.95

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Solution

The fourth proportional to 1,693.22, 2,336.64 and 1,029.95 is: 1,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.22 : 2,336.64 = 1,029.95 : x
  2. Step 2: Convert to fraction form
    1,693.22/2,336.64 = 1,029.95/x
  3. Step 3: Cross multiply
    1,693.22x = 2,336.64 × 1,029.95
  4. Step 4: Simplify right side
    1,693.22x = 2,406,610.68
  5. Step 5: Solve for x
    x = 2,406,610.68/1,693.22
  6. Step 6: Final answer
    x = 1,421.32

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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.