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Finding the Fourth Proportional to 1,722.56, 2,583.12 and 552.24

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Solution

The fourth proportional to 1,722.56, 2,583.12 and 552.24 is: 828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.56 : 2,583.12 = 552.24 : x
  2. Step 2: Convert to fraction form
    1,722.56/2,583.12 = 552.24/x
  3. Step 3: Cross multiply
    1,722.56x = 2,583.12 × 552.24
  4. Step 4: Simplify right side
    1,722.56x = 1,426,502.19
  5. Step 5: Solve for x
    x = 1,426,502.19/1,722.56
  6. Step 6: Final answer
    x = 828.13

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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.