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Finding the Fourth Proportional to 1,411.74, 1,951.40 and 1,081.64

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Solution

The fourth proportional to 1,411.74, 1,951.40 and 1,081.64 is: 1,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.74 : 1,951.40 = 1,081.64 : x
  2. Step 2: Convert to fraction form
    1,411.74/1,951.40 = 1,081.64/x
  3. Step 3: Cross multiply
    1,411.74x = 1,951.40 × 1,081.64
  4. Step 4: Simplify right side
    1,411.74x = 2,110,719.88
  5. Step 5: Solve for x
    x = 2,110,719.88/1,411.74
  6. Step 6: Final answer
    x = 1,495.12

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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.