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Finding the Fourth Proportional to 2,653.17, 3,956.60 and 2,325.63

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Solution

The fourth proportional to 2,653.17, 3,956.60 and 2,325.63 is: 3,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.17 : 3,956.60 = 2,325.63 : x
  2. Step 2: Convert to fraction form
    2,653.17/3,956.60 = 2,325.63/x
  3. Step 3: Cross multiply
    2,653.17x = 3,956.60 × 2,325.63
  4. Step 4: Simplify right side
    2,653.17x = 9,201,572.97
  5. Step 5: Solve for x
    x = 9,201,572.97/2,653.17
  6. Step 6: Final answer
    x = 3,468.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.