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Finding the Fourth Proportional to 1,504.30, 2,076.84 and 1,032.97

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Solution

The fourth proportional to 1,504.30, 2,076.84 and 1,032.97 is: 1,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.30 : 2,076.84 = 1,032.97 : x
  2. Step 2: Convert to fraction form
    1,504.30/2,076.84 = 1,032.97/x
  3. Step 3: Cross multiply
    1,504.30x = 2,076.84 × 1,032.97
  4. Step 4: Simplify right side
    1,504.30x = 2,145,313.41
  5. Step 5: Solve for x
    x = 2,145,313.41/1,504.30
  6. Step 6: Final answer
    x = 1,426.12

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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.