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Finding the Fourth Proportional to 2,348.70, 3,240 and 1,905.84

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Solution

The fourth proportional to 2,348.70, 3,240 and 1,905.84 is: 2,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.70 : 3,240 = 1,905.84 : x
  2. Step 2: Convert to fraction form
    2,348.70/3,240 = 1,905.84/x
  3. Step 3: Cross multiply
    2,348.70x = 3,240 × 1,905.84
  4. Step 4: Simplify right side
    2,348.70x = 6,174,921.60
  5. Step 5: Solve for x
    x = 6,174,921.60/2,348.70
  6. Step 6: Final answer
    x = 2,629.08

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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.