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Finding the Fourth Proportional to 2,830.64, 4,238.09 and 1,440.99

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Solution

The fourth proportional to 2,830.64, 4,238.09 and 1,440.99 is: 2,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.64 : 4,238.09 = 1,440.99 : x
  2. Step 2: Convert to fraction form
    2,830.64/4,238.09 = 1,440.99/x
  3. Step 3: Cross multiply
    2,830.64x = 4,238.09 × 1,440.99
  4. Step 4: Simplify right side
    2,830.64x = 6,107,038.32
  5. Step 5: Solve for x
    x = 6,107,038.32/2,830.64
  6. Step 6: Final answer
    x = 2,157.47

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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.