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Finding the Fourth Proportional to 1,648.88, 2,275.46 and 902.84

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Solution

The fourth proportional to 1,648.88, 2,275.46 and 902.84 is: 1,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.88 : 2,275.46 = 902.84 : x
  2. Step 2: Convert to fraction form
    1,648.88/2,275.46 = 902.84/x
  3. Step 3: Cross multiply
    1,648.88x = 2,275.46 × 902.84
  4. Step 4: Simplify right side
    1,648.88x = 2,054,376.31
  5. Step 5: Solve for x
    x = 2,054,376.31/1,648.88
  6. Step 6: Final answer
    x = 1,245.92

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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.