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Finding the Fourth Proportional to 2,503.17, 3,755.70 and 1,577.70

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Solution

The fourth proportional to 2,503.17, 3,755.70 and 1,577.70 is: 2,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.17 : 3,755.70 = 1,577.70 : x
  2. Step 2: Convert to fraction form
    2,503.17/3,755.70 = 1,577.70/x
  3. Step 3: Cross multiply
    2,503.17x = 3,755.70 × 1,577.70
  4. Step 4: Simplify right side
    2,503.17x = 5,925,367.89
  5. Step 5: Solve for x
    x = 5,925,367.89/2,503.17
  6. Step 6: Final answer
    x = 2,367.15

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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.