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Finding the Fourth Proportional to 1,701.63, 2,553.36 and 1,577.70

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Solution

The fourth proportional to 1,701.63, 2,553.36 and 1,577.70 is: 2,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.63 : 2,553.36 = 1,577.70 : x
  2. Step 2: Convert to fraction form
    1,701.63/2,553.36 = 1,577.70/x
  3. Step 3: Cross multiply
    1,701.63x = 2,553.36 × 1,577.70
  4. Step 4: Simplify right side
    1,701.63x = 4,028,430.16
  5. Step 5: Solve for x
    x = 4,028,430.16/1,701.63
  6. Step 6: Final answer
    x = 2,367.39

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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.