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Finding the Fourth Proportional to 2,774.95, 3,830.67 and 1,831.24

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Solution

The fourth proportional to 2,774.95, 3,830.67 and 1,831.24 is: 2,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.95 : 3,830.67 = 1,831.24 : x
  2. Step 2: Convert to fraction form
    2,774.95/3,830.67 = 1,831.24/x
  3. Step 3: Cross multiply
    2,774.95x = 3,830.67 × 1,831.24
  4. Step 4: Simplify right side
    2,774.95x = 7,014,876.13
  5. Step 5: Solve for x
    x = 7,014,876.13/2,774.95
  6. Step 6: Final answer
    x = 2,527.93

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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.