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Finding the Fourth Proportional to 2,503.14, 3,454.54 and 1,455.14

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Solution

The fourth proportional to 2,503.14, 3,454.54 and 1,455.14 is: 2,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.14 : 3,454.54 = 1,455.14 : x
  2. Step 2: Convert to fraction form
    2,503.14/3,454.54 = 1,455.14/x
  3. Step 3: Cross multiply
    2,503.14x = 3,454.54 × 1,455.14
  4. Step 4: Simplify right side
    2,503.14x = 5,026,839.34
  5. Step 5: Solve for x
    x = 5,026,839.34/2,503.14
  6. Step 6: Final answer
    x = 2,008.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.