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Finding the Fourth Proportional to 2,918.92, 4,379.12 and 971.16

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Solution

The fourth proportional to 2,918.92, 4,379.12 and 971.16 is: 1,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.92 : 4,379.12 = 971.16 : x
  2. Step 2: Convert to fraction form
    2,918.92/4,379.12 = 971.16/x
  3. Step 3: Cross multiply
    2,918.92x = 4,379.12 × 971.16
  4. Step 4: Simplify right side
    2,918.92x = 4,252,826.18
  5. Step 5: Solve for x
    x = 4,252,826.18/2,918.92
  6. Step 6: Final answer
    x = 1,456.99

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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.