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Finding the Fourth Proportional to 2,804.34, 4,206.54 and 1,836.60

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Solution

The fourth proportional to 2,804.34, 4,206.54 and 1,836.60 is: 2,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.34 : 4,206.54 = 1,836.60 : x
  2. Step 2: Convert to fraction form
    2,804.34/4,206.54 = 1,836.60/x
  3. Step 3: Cross multiply
    2,804.34x = 4,206.54 × 1,836.60
  4. Step 4: Simplify right side
    2,804.34x = 7,725,731.36
  5. Step 5: Solve for x
    x = 7,725,731.36/2,804.34
  6. Step 6: Final answer
    x = 2,754.92

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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.