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Finding the Fourth Proportional to 2,493.46, 3,440.87 and 1,430.49

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Solution

The fourth proportional to 2,493.46, 3,440.87 and 1,430.49 is: 1,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.46 : 3,440.87 = 1,430.49 : x
  2. Step 2: Convert to fraction form
    2,493.46/3,440.87 = 1,430.49/x
  3. Step 3: Cross multiply
    2,493.46x = 3,440.87 × 1,430.49
  4. Step 4: Simplify right side
    2,493.46x = 4,922,130.13
  5. Step 5: Solve for x
    x = 4,922,130.13/2,493.46
  6. Step 6: Final answer
    x = 1,974.02

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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.