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Finding the Fourth Proportional to 1,652.36, 2,477.10 and 1,410.44

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Solution

The fourth proportional to 1,652.36, 2,477.10 and 1,410.44 is: 2,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.36 : 2,477.10 = 1,410.44 : x
  2. Step 2: Convert to fraction form
    1,652.36/2,477.10 = 1,410.44/x
  3. Step 3: Cross multiply
    1,652.36x = 2,477.10 × 1,410.44
  4. Step 4: Simplify right side
    1,652.36x = 3,493,800.92
  5. Step 5: Solve for x
    x = 3,493,800.92/1,652.36
  6. Step 6: Final answer
    x = 2,114.43

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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.