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Finding the Fourth Proportional to 1,598.48, 2,205.86 and 899.84

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Solution

The fourth proportional to 1,598.48, 2,205.86 and 899.84 is: 1,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.48 : 2,205.86 = 899.84 : x
  2. Step 2: Convert to fraction form
    1,598.48/2,205.86 = 899.84/x
  3. Step 3: Cross multiply
    1,598.48x = 2,205.86 × 899.84
  4. Step 4: Simplify right side
    1,598.48x = 1,984,916.56
  5. Step 5: Solve for x
    x = 1,984,916.56/1,598.48
  6. Step 6: Final answer
    x = 1,241.75

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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.