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Finding the Fourth Proportional to 1,746.98, 2,616.20 and 1,684.11

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Solution

The fourth proportional to 1,746.98, 2,616.20 and 1,684.11 is: 2,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.98 : 2,616.20 = 1,684.11 : x
  2. Step 2: Convert to fraction form
    1,746.98/2,616.20 = 1,684.11/x
  3. Step 3: Cross multiply
    1,746.98x = 2,616.20 × 1,684.11
  4. Step 4: Simplify right side
    1,746.98x = 4,405,968.58
  5. Step 5: Solve for x
    x = 4,405,968.58/1,746.98
  6. Step 6: Final answer
    x = 2,522.05

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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.