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Finding the Fourth Proportional to 1,482.36, 2,220.96 and 1,275

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Solution

The fourth proportional to 1,482.36, 2,220.96 and 1,275 is: 1,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.36 : 2,220.96 = 1,275 : x
  2. Step 2: Convert to fraction form
    1,482.36/2,220.96 = 1,275/x
  3. Step 3: Cross multiply
    1,482.36x = 2,220.96 × 1,275
  4. Step 4: Simplify right side
    1,482.36x = 2,831,724
  5. Step 5: Solve for x
    x = 2,831,724/1,482.36
  6. Step 6: Final answer
    x = 1,910.28

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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.