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Finding the Fourth Proportional to 1,607.99, 2,410.43 and 1,023.71

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Solution

The fourth proportional to 1,607.99, 2,410.43 and 1,023.71 is: 1,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.99 : 2,410.43 = 1,023.71 : x
  2. Step 2: Convert to fraction form
    1,607.99/2,410.43 = 1,023.71/x
  3. Step 3: Cross multiply
    1,607.99x = 2,410.43 × 1,023.71
  4. Step 4: Simplify right side
    1,607.99x = 2,467,564.12
  5. Step 5: Solve for x
    x = 2,467,564.12/1,607.99
  6. Step 6: Final answer
    x = 1,534.57

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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.