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Finding the Fourth Proportional to 2,918.83, 4,378.25 and 971.05

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Solution

The fourth proportional to 2,918.83, 4,378.25 and 971.05 is: 1,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.83 : 4,378.25 = 971.05 : x
  2. Step 2: Convert to fraction form
    2,918.83/4,378.25 = 971.05/x
  3. Step 3: Cross multiply
    2,918.83x = 4,378.25 × 971.05
  4. Step 4: Simplify right side
    2,918.83x = 4,251,499.66
  5. Step 5: Solve for x
    x = 4,251,499.66/2,918.83
  6. Step 6: Final answer
    x = 1,456.58

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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.