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Finding the Fourth Proportional to 2,302.29, 3,447.95 and 1,260.74

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Solution

The fourth proportional to 2,302.29, 3,447.95 and 1,260.74 is: 1,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.29 : 3,447.95 = 1,260.74 : x
  2. Step 2: Convert to fraction form
    2,302.29/3,447.95 = 1,260.74/x
  3. Step 3: Cross multiply
    2,302.29x = 3,447.95 × 1,260.74
  4. Step 4: Simplify right side
    2,302.29x = 4,346,944.94
  5. Step 5: Solve for x
    x = 4,346,944.94/2,302.29
  6. Step 6: Final answer
    x = 1,888.10

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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.