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Finding the Fourth Proportional to 1,585.77, 2,379.02 and 490.11

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Solution

The fourth proportional to 1,585.77, 2,379.02 and 490.11 is: 735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.77 : 2,379.02 = 490.11 : x
  2. Step 2: Convert to fraction form
    1,585.77/2,379.02 = 490.11/x
  3. Step 3: Cross multiply
    1,585.77x = 2,379.02 × 490.11
  4. Step 4: Simplify right side
    1,585.77x = 1,165,981.49
  5. Step 5: Solve for x
    x = 1,165,981.49/1,585.77
  6. Step 6: Final answer
    x = 735.28

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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.