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Finding the Fourth Proportional to 1,724.40, 2,586.46 and 570.12

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Solution

The fourth proportional to 1,724.40, 2,586.46 and 570.12 is: 855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.40 : 2,586.46 = 570.12 : x
  2. Step 2: Convert to fraction form
    1,724.40/2,586.46 = 570.12/x
  3. Step 3: Cross multiply
    1,724.40x = 2,586.46 × 570.12
  4. Step 4: Simplify right side
    1,724.40x = 1,474,592.58
  5. Step 5: Solve for x
    x = 1,474,592.58/1,724.40
  6. Step 6: Final answer
    x = 855.13

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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.