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Finding the Fourth Proportional to 2,878.76, 4,317.08 and 1,029.37

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Solution

The fourth proportional to 2,878.76, 4,317.08 and 1,029.37 is: 1,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.76 : 4,317.08 = 1,029.37 : x
  2. Step 2: Convert to fraction form
    2,878.76/4,317.08 = 1,029.37/x
  3. Step 3: Cross multiply
    2,878.76x = 4,317.08 × 1,029.37
  4. Step 4: Simplify right side
    2,878.76x = 4,443,856.70
  5. Step 5: Solve for x
    x = 4,443,856.70/2,878.76
  6. Step 6: Final answer
    x = 1,543.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.