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Finding the Fourth Proportional to 2,607.71, 3,911.36 and 1,047.65

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Solution

The fourth proportional to 2,607.71, 3,911.36 and 1,047.65 is: 1,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.71 : 3,911.36 = 1,047.65 : x
  2. Step 2: Convert to fraction form
    2,607.71/3,911.36 = 1,047.65/x
  3. Step 3: Cross multiply
    2,607.71x = 3,911.36 × 1,047.65
  4. Step 4: Simplify right side
    2,607.71x = 4,097,711.51
  5. Step 5: Solve for x
    x = 4,097,711.51/2,607.71
  6. Step 6: Final answer
    x = 1,571.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.