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Finding the Fourth Proportional to 2,959.86, 4,416.57 and 2,649.57

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Solution

The fourth proportional to 2,959.86, 4,416.57 and 2,649.57 is: 3,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.86 : 4,416.57 = 2,649.57 : x
  2. Step 2: Convert to fraction form
    2,959.86/4,416.57 = 2,649.57/x
  3. Step 3: Cross multiply
    2,959.86x = 4,416.57 × 2,649.57
  4. Step 4: Simplify right side
    2,959.86x = 11,702,011.37
  5. Step 5: Solve for x
    x = 11,702,011.37/2,959.86
  6. Step 6: Final answer
    x = 3,953.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.