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Finding the Fourth Proportional to 1,598.67, 2,204.01 and 1,224.99

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Solution

The fourth proportional to 1,598.67, 2,204.01 and 1,224.99 is: 1,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.67 : 2,204.01 = 1,224.99 : x
  2. Step 2: Convert to fraction form
    1,598.67/2,204.01 = 1,224.99/x
  3. Step 3: Cross multiply
    1,598.67x = 2,204.01 × 1,224.99
  4. Step 4: Simplify right side
    1,598.67x = 2,699,890.21
  5. Step 5: Solve for x
    x = 2,699,890.21/1,598.67
  6. Step 6: Final answer
    x = 1,688.84

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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.