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Finding the Fourth Proportional to 2,698.12, 4,048.73 and 1,138

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Solution

The fourth proportional to 2,698.12, 4,048.73 and 1,138 is: 1,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.12 : 4,048.73 = 1,138 : x
  2. Step 2: Convert to fraction form
    2,698.12/4,048.73 = 1,138/x
  3. Step 3: Cross multiply
    2,698.12x = 4,048.73 × 1,138
  4. Step 4: Simplify right side
    2,698.12x = 4,607,454.74
  5. Step 5: Solve for x
    x = 4,607,454.74/2,698.12
  6. Step 6: Final answer
    x = 1,707.65

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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.