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Finding the Fourth Proportional to 1,737.93, 2,398.77 and 1,457.73

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Solution

The fourth proportional to 1,737.93, 2,398.77 and 1,457.73 is: 2,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.93 : 2,398.77 = 1,457.73 : x
  2. Step 2: Convert to fraction form
    1,737.93/2,398.77 = 1,457.73/x
  3. Step 3: Cross multiply
    1,737.93x = 2,398.77 × 1,457.73
  4. Step 4: Simplify right side
    1,737.93x = 3,496,758.99
  5. Step 5: Solve for x
    x = 3,496,758.99/1,737.93
  6. Step 6: Final answer
    x = 2,012.03

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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.