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Finding the Fourth Proportional to 2,785.95, 3,844.68 and 1,527.06

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Solution

The fourth proportional to 2,785.95, 3,844.68 and 1,527.06 is: 2,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.95 : 3,844.68 = 1,527.06 : x
  2. Step 2: Convert to fraction form
    2,785.95/3,844.68 = 1,527.06/x
  3. Step 3: Cross multiply
    2,785.95x = 3,844.68 × 1,527.06
  4. Step 4: Simplify right side
    2,785.95x = 5,871,036.79
  5. Step 5: Solve for x
    x = 5,871,036.79/2,785.95
  6. Step 6: Final answer
    x = 2,107.38

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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.