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Finding the Fourth Proportional to 1,701.10, 2,551.65 and 1,549.90

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Solution

The fourth proportional to 1,701.10, 2,551.65 and 1,549.90 is: 2,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.10 : 2,551.65 = 1,549.90 : x
  2. Step 2: Convert to fraction form
    1,701.10/2,551.65 = 1,549.90/x
  3. Step 3: Cross multiply
    1,701.10x = 2,551.65 × 1,549.90
  4. Step 4: Simplify right side
    1,701.10x = 3,954,802.34
  5. Step 5: Solve for x
    x = 3,954,802.34/1,701.10
  6. Step 6: Final answer
    x = 2,324.85

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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.