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Finding the Fourth Proportional to 1,353.30, 1,868.09 and 1,021.80

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Solution

The fourth proportional to 1,353.30, 1,868.09 and 1,021.80 is: 1,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.30 : 1,868.09 = 1,021.80 : x
  2. Step 2: Convert to fraction form
    1,353.30/1,868.09 = 1,021.80/x
  3. Step 3: Cross multiply
    1,353.30x = 1,868.09 × 1,021.80
  4. Step 4: Simplify right side
    1,353.30x = 1,908,814.36
  5. Step 5: Solve for x
    x = 1,908,814.36/1,353.30
  6. Step 6: Final answer
    x = 1,410.49

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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.