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Finding the Fourth Proportional to 1,693.61, 2,335.64 and 1,224.62

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Solution

The fourth proportional to 1,693.61, 2,335.64 and 1,224.62 is: 1,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.61 : 2,335.64 = 1,224.62 : x
  2. Step 2: Convert to fraction form
    1,693.61/2,335.64 = 1,224.62/x
  3. Step 3: Cross multiply
    1,693.61x = 2,335.64 × 1,224.62
  4. Step 4: Simplify right side
    1,693.61x = 2,860,262.41
  5. Step 5: Solve for x
    x = 2,860,262.41/1,693.61
  6. Step 6: Final answer
    x = 1,688.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.