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Finding the Fourth Proportional to 1,411.49, 1,946.84 and 851.72

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Solution

The fourth proportional to 1,411.49, 1,946.84 and 851.72 is: 1,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.49 : 1,946.84 = 851.72 : x
  2. Step 2: Convert to fraction form
    1,411.49/1,946.84 = 851.72/x
  3. Step 3: Cross multiply
    1,411.49x = 1,946.84 × 851.72
  4. Step 4: Simplify right side
    1,411.49x = 1,658,148.57
  5. Step 5: Solve for x
    x = 1,658,148.57/1,411.49
  6. Step 6: Final answer
    x = 1,174.75

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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.