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Finding the Fourth Proportional to 1,498.44, 2,068 and 1,277.32

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Solution

The fourth proportional to 1,498.44, 2,068 and 1,277.32 is: 1,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.44 : 2,068 = 1,277.32 : x
  2. Step 2: Convert to fraction form
    1,498.44/2,068 = 1,277.32/x
  3. Step 3: Cross multiply
    1,498.44x = 2,068 × 1,277.32
  4. Step 4: Simplify right side
    1,498.44x = 2,641,497.76
  5. Step 5: Solve for x
    x = 2,641,497.76/1,498.44
  6. Step 6: Final answer
    x = 1,762.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.