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Finding the Fourth Proportional to 2,597.97, 3,892.08 and 1,300.35

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Solution

The fourth proportional to 2,597.97, 3,892.08 and 1,300.35 is: 1,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.97 : 3,892.08 = 1,300.35 : x
  2. Step 2: Convert to fraction form
    2,597.97/3,892.08 = 1,300.35/x
  3. Step 3: Cross multiply
    2,597.97x = 3,892.08 × 1,300.35
  4. Step 4: Simplify right side
    2,597.97x = 5,061,066.23
  5. Step 5: Solve for x
    x = 5,061,066.23/2,597.97
  6. Step 6: Final answer
    x = 1,948.08

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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.