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Finding the Fourth Proportional to 2,916.63, 4,374.54 and 942.46

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Solution

The fourth proportional to 2,916.63, 4,374.54 and 942.46 is: 1,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.63 : 4,374.54 = 942.46 : x
  2. Step 2: Convert to fraction form
    2,916.63/4,374.54 = 942.46/x
  3. Step 3: Cross multiply
    2,916.63x = 4,374.54 × 942.46
  4. Step 4: Simplify right side
    2,916.63x = 4,122,818.03
  5. Step 5: Solve for x
    x = 4,122,818.03/2,916.63
  6. Step 6: Final answer
    x = 1,413.56

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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.