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Finding the Fourth Proportional to 2,130.74, 2,940.40 and 1,246.36

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Solution

The fourth proportional to 2,130.74, 2,940.40 and 1,246.36 is: 1,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.74 : 2,940.40 = 1,246.36 : x
  2. Step 2: Convert to fraction form
    2,130.74/2,940.40 = 1,246.36/x
  3. Step 3: Cross multiply
    2,130.74x = 2,940.40 × 1,246.36
  4. Step 4: Simplify right side
    2,130.74x = 3,664,796.94
  5. Step 5: Solve for x
    x = 3,664,796.94/2,130.74
  6. Step 6: Final answer
    x = 1,719.96

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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.