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Finding the Fourth Proportional to 2,919.34, 4,379.67 and 971.62

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Solution

The fourth proportional to 2,919.34, 4,379.67 and 971.62 is: 1,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.34 : 4,379.67 = 971.62 : x
  2. Step 2: Convert to fraction form
    2,919.34/4,379.67 = 971.62/x
  3. Step 3: Cross multiply
    2,919.34x = 4,379.67 × 971.62
  4. Step 4: Simplify right side
    2,919.34x = 4,255,374.97
  5. Step 5: Solve for x
    x = 4,255,374.97/2,919.34
  6. Step 6: Final answer
    x = 1,457.65

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1.5x scale

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.