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Finding the Fourth Proportional to 1,409.46, 2,111.76 and 1,097.22

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Solution

The fourth proportional to 1,409.46, 2,111.76 and 1,097.22 is: 1,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.46 : 2,111.76 = 1,097.22 : x
  2. Step 2: Convert to fraction form
    1,409.46/2,111.76 = 1,097.22/x
  3. Step 3: Cross multiply
    1,409.46x = 2,111.76 × 1,097.22
  4. Step 4: Simplify right side
    1,409.46x = 2,317,065.31
  5. Step 5: Solve for x
    x = 2,317,065.31/1,409.46
  6. Step 6: Final answer
    x = 1,643.94

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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.