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Finding the Fourth Proportional to 1,698.36, 2,549.96 and 1,113.52

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Solution

The fourth proportional to 1,698.36, 2,549.96 and 1,113.52 is: 1,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.36 : 2,549.96 = 1,113.52 : x
  2. Step 2: Convert to fraction form
    1,698.36/2,549.96 = 1,113.52/x
  3. Step 3: Cross multiply
    1,698.36x = 2,549.96 × 1,113.52
  4. Step 4: Simplify right side
    1,698.36x = 2,839,431.46
  5. Step 5: Solve for x
    x = 2,839,431.46/1,698.36
  6. Step 6: Final answer
    x = 1,671.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.