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Finding the Fourth Proportional to 2,134.63, 2,946.60 and 1,605.05

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Solution

The fourth proportional to 2,134.63, 2,946.60 and 1,605.05 is: 2,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.63 : 2,946.60 = 1,605.05 : x
  2. Step 2: Convert to fraction form
    2,134.63/2,946.60 = 1,605.05/x
  3. Step 3: Cross multiply
    2,134.63x = 2,946.60 × 1,605.05
  4. Step 4: Simplify right side
    2,134.63x = 4,729,448.70
  5. Step 5: Solve for x
    x = 4,729,448.70/2,134.63
  6. Step 6: Final answer
    x = 2,215.58

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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.