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Finding the Fourth Proportional to 2,374.41, 3,266.28 and 1,931.34

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Solution

The fourth proportional to 2,374.41, 3,266.28 and 1,931.34 is: 2,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.41 : 3,266.28 = 1,931.34 : x
  2. Step 2: Convert to fraction form
    2,374.41/3,266.28 = 1,931.34/x
  3. Step 3: Cross multiply
    2,374.41x = 3,266.28 × 1,931.34
  4. Step 4: Simplify right side
    2,374.41x = 6,308,297.22
  5. Step 5: Solve for x
    x = 6,308,297.22/2,374.41
  6. Step 6: Final answer
    x = 2,656.79

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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.