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Finding the Fourth Proportional to 1,945.42, 2,916.40 and 712.54

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Solution

The fourth proportional to 1,945.42, 2,916.40 and 712.54 is: 1,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.42 : 2,916.40 = 712.54 : x
  2. Step 2: Convert to fraction form
    1,945.42/2,916.40 = 712.54/x
  3. Step 3: Cross multiply
    1,945.42x = 2,916.40 × 712.54
  4. Step 4: Simplify right side
    1,945.42x = 2,078,061.33
  5. Step 5: Solve for x
    x = 2,078,061.33/1,945.42
  6. Step 6: Final answer
    x = 1,068.18

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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.