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Finding the Fourth Proportional to 1,971.07, 2,955.70 and 672.01

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Solution

The fourth proportional to 1,971.07, 2,955.70 and 672.01 is: 1,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.07 : 2,955.70 = 672.01 : x
  2. Step 2: Convert to fraction form
    1,971.07/2,955.70 = 672.01/x
  3. Step 3: Cross multiply
    1,971.07x = 2,955.70 × 672.01
  4. Step 4: Simplify right side
    1,971.07x = 1,986,259.96
  5. Step 5: Solve for x
    x = 1,986,259.96/1,971.07
  6. Step 6: Final answer
    x = 1,007.71

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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.