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Finding the Fourth Proportional to 2,471.12, 3,410.72 and 1,477

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Solution

The fourth proportional to 2,471.12, 3,410.72 and 1,477 is: 2,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.12 : 3,410.72 = 1,477 : x
  2. Step 2: Convert to fraction form
    2,471.12/3,410.72 = 1,477/x
  3. Step 3: Cross multiply
    2,471.12x = 3,410.72 × 1,477
  4. Step 4: Simplify right side
    2,471.12x = 5,037,633.44
  5. Step 5: Solve for x
    x = 5,037,633.44/2,471.12
  6. Step 6: Final answer
    x = 2,038.60

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