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Finding the Fourth Proportional to 1,724.42, 2,586.64 and 425.88

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Solution

The fourth proportional to 1,724.42, 2,586.64 and 425.88 is: 638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.42 : 2,586.64 = 425.88 : x
  2. Step 2: Convert to fraction form
    1,724.42/2,586.64 = 425.88/x
  3. Step 3: Cross multiply
    1,724.42x = 2,586.64 × 425.88
  4. Step 4: Simplify right side
    1,724.42x = 1,101,598.24
  5. Step 5: Solve for x
    x = 1,101,598.24/1,724.42
  6. Step 6: Final answer
    x = 638.82

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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.