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Finding the Fourth Proportional to 1,648.06, 2,274.31 and 902.00

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Solution

The fourth proportional to 1,648.06, 2,274.31 and 902.00 is: 1,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.06 : 2,274.31 = 902.00 : x
  2. Step 2: Convert to fraction form
    1,648.06/2,274.31 = 902.00/x
  3. Step 3: Cross multiply
    1,648.06x = 2,274.31 × 902.00
  4. Step 4: Simplify right side
    1,648.06x = 2,051,434.43
  5. Step 5: Solve for x
    x = 2,051,434.43/1,648.06
  6. Step 6: Final answer
    x = 1,244.76

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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.