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Finding the Fourth Proportional to 2,950.10, 4,423.92 and 869.34

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Solution

The fourth proportional to 2,950.10, 4,423.92 and 869.34 is: 1,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.10 : 4,423.92 = 869.34 : x
  2. Step 2: Convert to fraction form
    2,950.10/4,423.92 = 869.34/x
  3. Step 3: Cross multiply
    2,950.10x = 4,423.92 × 869.34
  4. Step 4: Simplify right side
    2,950.10x = 3,845,890.61
  5. Step 5: Solve for x
    x = 3,845,890.61/2,950.10
  6. Step 6: Final answer
    x = 1,303.65

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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.