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Finding the Fourth Proportional to 1,790.32, 2,471.79 and 1,459.54

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Solution

The fourth proportional to 1,790.32, 2,471.79 and 1,459.54 is: 2,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.32 : 2,471.79 = 1,459.54 : x
  2. Step 2: Convert to fraction form
    1,790.32/2,471.79 = 1,459.54/x
  3. Step 3: Cross multiply
    1,790.32x = 2,471.79 × 1,459.54
  4. Step 4: Simplify right side
    1,790.32x = 3,607,676.38
  5. Step 5: Solve for x
    x = 3,607,676.38/1,790.32
  6. Step 6: Final answer
    x = 2,015.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.