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Finding the Fourth Proportional to 1,579.70, 2,369.58 and 425.42

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Solution

The fourth proportional to 1,579.70, 2,369.58 and 425.42 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.70 : 2,369.58 = 425.42 : x
  2. Step 2: Convert to fraction form
    1,579.70/2,369.58 = 425.42/x
  3. Step 3: Cross multiply
    1,579.70x = 2,369.58 × 425.42
  4. Step 4: Simplify right side
    1,579.70x = 1,008,066.72
  5. Step 5: Solve for x
    x = 1,008,066.72/1,579.70
  6. Step 6: Final answer
    x = 638.14

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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.