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Finding the Fourth Proportional to 2,059.04, 2,840.64 and 1,438.40

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Solution

The fourth proportional to 2,059.04, 2,840.64 and 1,438.40 is: 1,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.04 : 2,840.64 = 1,438.40 : x
  2. Step 2: Convert to fraction form
    2,059.04/2,840.64 = 1,438.40/x
  3. Step 3: Cross multiply
    2,059.04x = 2,840.64 × 1,438.40
  4. Step 4: Simplify right side
    2,059.04x = 4,085,976.58
  5. Step 5: Solve for x
    x = 4,085,976.58/2,059.04
  6. Step 6: Final answer
    x = 1,984.41

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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.