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Finding the Fourth Proportional to 2,433.06, 3,652.74 and 2,088.63

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Solution

The fourth proportional to 2,433.06, 3,652.74 and 2,088.63 is: 3,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.06 : 3,652.74 = 2,088.63 : x
  2. Step 2: Convert to fraction form
    2,433.06/3,652.74 = 2,088.63/x
  3. Step 3: Cross multiply
    2,433.06x = 3,652.74 × 2,088.63
  4. Step 4: Simplify right side
    2,433.06x = 7,629,222.35
  5. Step 5: Solve for x
    x = 7,629,222.35/2,433.06
  6. Step 6: Final answer
    x = 3,135.65

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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.