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Finding the Fourth Proportional to 2,990.46, 4,484.17 and 1,585.65

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Solution

The fourth proportional to 2,990.46, 4,484.17 and 1,585.65 is: 2,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.46 : 4,484.17 = 1,585.65 : x
  2. Step 2: Convert to fraction form
    2,990.46/4,484.17 = 1,585.65/x
  3. Step 3: Cross multiply
    2,990.46x = 4,484.17 × 1,585.65
  4. Step 4: Simplify right side
    2,990.46x = 7,110,324.16
  5. Step 5: Solve for x
    x = 7,110,324.16/2,990.46
  6. Step 6: Final answer
    x = 2,377.67

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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.