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Finding the Fourth Proportional to 3,070.68, 4,233.75 and 2,597.76

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Solution

The fourth proportional to 3,070.68, 4,233.75 and 2,597.76 is: 3,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.68 : 4,233.75 = 2,597.76 : x
  2. Step 2: Convert to fraction form
    3,070.68/4,233.75 = 2,597.76/x
  3. Step 3: Cross multiply
    3,070.68x = 4,233.75 × 2,597.76
  4. Step 4: Simplify right side
    3,070.68x = 10,998,266.40
  5. Step 5: Solve for x
    x = 10,998,266.40/3,070.68
  6. Step 6: Final answer
    x = 3,581.70

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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.