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Finding the Fourth Proportional to 2,879.06, 4,315.95 and 1,029.74

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Solution

The fourth proportional to 2,879.06, 4,315.95 and 1,029.74 is: 1,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.06 : 4,315.95 = 1,029.74 : x
  2. Step 2: Convert to fraction form
    2,879.06/4,315.95 = 1,029.74/x
  3. Step 3: Cross multiply
    2,879.06x = 4,315.95 × 1,029.74
  4. Step 4: Simplify right side
    2,879.06x = 4,444,306.35
  5. Step 5: Solve for x
    x = 4,444,306.35/2,879.06
  6. Step 6: Final answer
    x = 1,543.67

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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.