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Finding the Fourth Proportional to 1,410.54, 2,106.03 and 1,323.06

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Solution

The fourth proportional to 1,410.54, 2,106.03 and 1,323.06 is: 1,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.54 : 2,106.03 = 1,323.06 : x
  2. Step 2: Convert to fraction form
    1,410.54/2,106.03 = 1,323.06/x
  3. Step 3: Cross multiply
    1,410.54x = 2,106.03 × 1,323.06
  4. Step 4: Simplify right side
    1,410.54x = 2,786,404.05
  5. Step 5: Solve for x
    x = 2,786,404.05/1,410.54
  6. Step 6: Final answer
    x = 1,975.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.