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Finding the Fourth Proportional to 1,411.46, 1,946.23 and 1,326.71

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Solution

The fourth proportional to 1,411.46, 1,946.23 and 1,326.71 is: 1,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.46 : 1,946.23 = 1,326.71 : x
  2. Step 2: Convert to fraction form
    1,411.46/1,946.23 = 1,326.71/x
  3. Step 3: Cross multiply
    1,411.46x = 1,946.23 × 1,326.71
  4. Step 4: Simplify right side
    1,411.46x = 2,582,084.35
  5. Step 5: Solve for x
    x = 2,582,084.35/1,411.46
  6. Step 6: Final answer
    x = 1,829.37

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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.