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Finding the Fourth Proportional to 1,460.19, 2,190.21 and 815.01

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Solution

The fourth proportional to 1,460.19, 2,190.21 and 815.01 is: 1,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.19 : 2,190.21 = 815.01 : x
  2. Step 2: Convert to fraction form
    1,460.19/2,190.21 = 815.01/x
  3. Step 3: Cross multiply
    1,460.19x = 2,190.21 × 815.01
  4. Step 4: Simplify right side
    1,460.19x = 1,785,043.05
  5. Step 5: Solve for x
    x = 1,785,043.05/1,460.19
  6. Step 6: Final answer
    x = 1,222.47

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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.