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Finding the Fourth Proportional to 2,738.53, 3,775.99 and 2,590.80

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Solution

The fourth proportional to 2,738.53, 3,775.99 and 2,590.80 is: 3,572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.53 : 3,775.99 = 2,590.80 : x
  2. Step 2: Convert to fraction form
    2,738.53/3,775.99 = 2,590.80/x
  3. Step 3: Cross multiply
    2,738.53x = 3,775.99 × 2,590.80
  4. Step 4: Simplify right side
    2,738.53x = 9,782,831.71
  5. Step 5: Solve for x
    x = 9,782,831.71/2,738.53
  6. Step 6: Final answer
    x = 3,572.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.