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Finding the Fourth Proportional to 1,682.75, 2,319.78 and 1,123.02

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Solution

The fourth proportional to 1,682.75, 2,319.78 and 1,123.02 is: 1,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.75 : 2,319.78 = 1,123.02 : x
  2. Step 2: Convert to fraction form
    1,682.75/2,319.78 = 1,123.02/x
  3. Step 3: Cross multiply
    1,682.75x = 2,319.78 × 1,123.02
  4. Step 4: Simplify right side
    1,682.75x = 2,605,159.34
  5. Step 5: Solve for x
    x = 2,605,159.34/1,682.75
  6. Step 6: Final answer
    x = 1,548.16

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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.