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Finding the Fourth Proportional to 2,130.27, 2,940.02 and 1,246.02

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Solution

The fourth proportional to 2,130.27, 2,940.02 and 1,246.02 is: 1,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.27 : 2,940.02 = 1,246.02 : x
  2. Step 2: Convert to fraction form
    2,130.27/2,940.02 = 1,246.02/x
  3. Step 3: Cross multiply
    2,130.27x = 2,940.02 × 1,246.02
  4. Step 4: Simplify right side
    2,130.27x = 3,663,323.72
  5. Step 5: Solve for x
    x = 3,663,323.72/2,130.27
  6. Step 6: Final answer
    x = 1,719.65

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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.