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Finding the Fourth Proportional to 1,579.90, 2,369.94 and 606.08

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Solution

The fourth proportional to 1,579.90, 2,369.94 and 606.08 is: 909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.90 : 2,369.94 = 606.08 : x
  2. Step 2: Convert to fraction form
    1,579.90/2,369.94 = 606.08/x
  3. Step 3: Cross multiply
    1,579.90x = 2,369.94 × 606.08
  4. Step 4: Simplify right side
    1,579.90x = 1,436,373.24
  5. Step 5: Solve for x
    x = 1,436,373.24/1,579.90
  6. Step 6: Final answer
    x = 909.15

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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.