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Finding the Fourth Proportional to 1,427.64, 1,971.26 and 1,095.54

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Solution

The fourth proportional to 1,427.64, 1,971.26 and 1,095.54 is: 1,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.64 : 1,971.26 = 1,095.54 : x
  2. Step 2: Convert to fraction form
    1,427.64/1,971.26 = 1,095.54/x
  3. Step 3: Cross multiply
    1,427.64x = 1,971.26 × 1,095.54
  4. Step 4: Simplify right side
    1,427.64x = 2,159,594.18
  5. Step 5: Solve for x
    x = 2,159,594.18/1,427.64
  6. Step 6: Final answer
    x = 1,512.70

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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.