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Finding the Fourth Proportional to 1,971.88, 2,956.45 and 931.01

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Solution

The fourth proportional to 1,971.88, 2,956.45 and 931.01 is: 1,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.88 : 2,956.45 = 931.01 : x
  2. Step 2: Convert to fraction form
    1,971.88/2,956.45 = 931.01/x
  3. Step 3: Cross multiply
    1,971.88x = 2,956.45 × 931.01
  4. Step 4: Simplify right side
    1,971.88x = 2,752,467.40
  5. Step 5: Solve for x
    x = 2,752,467.40/1,971.88
  6. Step 6: Final answer
    x = 1,395.86

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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.