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Finding the Fourth Proportional to 2,776.14, 3,831.04 and 1,534.14

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Solution

The fourth proportional to 2,776.14, 3,831.04 and 1,534.14 is: 2,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.14 : 3,831.04 = 1,534.14 : x
  2. Step 2: Convert to fraction form
    2,776.14/3,831.04 = 1,534.14/x
  3. Step 3: Cross multiply
    2,776.14x = 3,831.04 × 1,534.14
  4. Step 4: Simplify right side
    2,776.14x = 5,877,351.71
  5. Step 5: Solve for x
    x = 5,877,351.71/2,776.14
  6. Step 6: Final answer
    x = 2,117.09

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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.