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Finding the Fourth Proportional to 2,900.40, 4,001.31 and 1,956.80

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Solution

The fourth proportional to 2,900.40, 4,001.31 and 1,956.80 is: 2,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.40 : 4,001.31 = 1,956.80 : x
  2. Step 2: Convert to fraction form
    2,900.40/4,001.31 = 1,956.80/x
  3. Step 3: Cross multiply
    2,900.40x = 4,001.31 × 1,956.80
  4. Step 4: Simplify right side
    2,900.40x = 7,829,763.41
  5. Step 5: Solve for x
    x = 7,829,763.41/2,900.40
  6. Step 6: Final answer
    x = 2,699.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.