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Finding the Fourth Proportional to 1,723.84, 2,586.00 and 553.46

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Solution

The fourth proportional to 1,723.84, 2,586.00 and 553.46 is: 830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.84 : 2,586.00 = 553.46 : x
  2. Step 2: Convert to fraction form
    1,723.84/2,586.00 = 553.46/x
  3. Step 3: Cross multiply
    1,723.84x = 2,586.00 × 553.46
  4. Step 4: Simplify right side
    1,723.84x = 1,431,242.42
  5. Step 5: Solve for x
    x = 1,431,242.42/1,723.84
  6. Step 6: Final answer
    x = 830.26

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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.