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Finding the Fourth Proportional to 2,698.79, 4,045.44 and 2,048.16

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Solution

The fourth proportional to 2,698.79, 4,045.44 and 2,048.16 is: 3,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.79 : 4,045.44 = 2,048.16 : x
  2. Step 2: Convert to fraction form
    2,698.79/4,045.44 = 2,048.16/x
  3. Step 3: Cross multiply
    2,698.79x = 4,045.44 × 2,048.16
  4. Step 4: Simplify right side
    2,698.79x = 8,285,708.39
  5. Step 5: Solve for x
    x = 8,285,708.39/2,698.79
  6. Step 6: Final answer
    x = 3,070.16

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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.