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Finding the Fourth Proportional to 2,290.63, 3,160.90 and 1,406.45

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Solution

The fourth proportional to 2,290.63, 3,160.90 and 1,406.45 is: 1,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.63 : 3,160.90 = 1,406.45 : x
  2. Step 2: Convert to fraction form
    2,290.63/3,160.90 = 1,406.45/x
  3. Step 3: Cross multiply
    2,290.63x = 3,160.90 × 1,406.45
  4. Step 4: Simplify right side
    2,290.63x = 4,445,635.52
  5. Step 5: Solve for x
    x = 4,445,635.52/2,290.63
  6. Step 6: Final answer
    x = 1,940.79

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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.