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Finding the Fourth Proportional to 2,919.90, 4,378.23 and 971.94

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Solution

The fourth proportional to 2,919.90, 4,378.23 and 971.94 is: 1,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.90 : 4,378.23 = 971.94 : x
  2. Step 2: Convert to fraction form
    2,919.90/4,378.23 = 971.94/x
  3. Step 3: Cross multiply
    2,919.90x = 4,378.23 × 971.94
  4. Step 4: Simplify right side
    2,919.90x = 4,255,376.87
  5. Step 5: Solve for x
    x = 4,255,376.87/2,919.90
  6. Step 6: Final answer
    x = 1,457.37

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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.