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Finding the Fourth Proportional to 2,323.17, 3,485.13 and 762.72

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Solution

The fourth proportional to 2,323.17, 3,485.13 and 762.72 is: 1,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.17 : 3,485.13 = 762.72 : x
  2. Step 2: Convert to fraction form
    2,323.17/3,485.13 = 762.72/x
  3. Step 3: Cross multiply
    2,323.17x = 3,485.13 × 762.72
  4. Step 4: Simplify right side
    2,323.17x = 2,658,178.35
  5. Step 5: Solve for x
    x = 2,658,178.35/2,323.17
  6. Step 6: Final answer
    x = 1,144.20

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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.