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Finding the Fourth Proportional to 1,504.16, 2,250 and 1,412

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Solution

The fourth proportional to 1,504.16, 2,250 and 1,412 is: 2,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.16 : 2,250 = 1,412 : x
  2. Step 2: Convert to fraction form
    1,504.16/2,250 = 1,412/x
  3. Step 3: Cross multiply
    1,504.16x = 2,250 × 1,412
  4. Step 4: Simplify right side
    1,504.16x = 3,177,000
  5. Step 5: Solve for x
    x = 3,177,000/1,504.16
  6. Step 6: Final answer
    x = 2,112.14

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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.