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Finding the Fourth Proportional to 3,032.19, 4,548.31 and 840.94

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Solution

The fourth proportional to 3,032.19, 4,548.31 and 840.94 is: 1,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.19 : 4,548.31 = 840.94 : x
  2. Step 2: Convert to fraction form
    3,032.19/4,548.31 = 840.94/x
  3. Step 3: Cross multiply
    3,032.19x = 4,548.31 × 840.94
  4. Step 4: Simplify right side
    3,032.19x = 3,824,842.34
  5. Step 5: Solve for x
    x = 3,824,842.34/3,032.19
  6. Step 6: Final answer
    x = 1,261.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.