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Finding the Fourth Proportional to 3,039.26, 4,558.88 and 848.00

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Solution

The fourth proportional to 3,039.26, 4,558.88 and 848.00 is: 1,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.26 : 4,558.88 = 848.00 : x
  2. Step 2: Convert to fraction form
    3,039.26/4,558.88 = 848.00/x
  3. Step 3: Cross multiply
    3,039.26x = 4,558.88 × 848.00
  4. Step 4: Simplify right side
    3,039.26x = 3,865,903.21
  5. Step 5: Solve for x
    x = 3,865,903.21/3,039.26
  6. Step 6: Final answer
    x = 1,271.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.