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Finding the Fourth Proportional to 1,416.40, 2,114.28 and 1,353.28

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Solution

The fourth proportional to 1,416.40, 2,114.28 and 1,353.28 is: 2,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.40 : 2,114.28 = 1,353.28 : x
  2. Step 2: Convert to fraction form
    1,416.40/2,114.28 = 1,353.28/x
  3. Step 3: Cross multiply
    1,416.40x = 2,114.28 × 1,353.28
  4. Step 4: Simplify right side
    1,416.40x = 2,861,212.84
  5. Step 5: Solve for x
    x = 2,861,212.84/1,416.40
  6. Step 6: Final answer
    x = 2,020.06

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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.