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Finding the Fourth Proportional to 4,804.66, 7,205.70 and 1,842.46

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Solution

The fourth proportional to 4,804.66, 7,205.70 and 1,842.46 is: 2,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.66 : 7,205.70 = 1,842.46 : x
  2. Step 2: Convert to fraction form
    4,804.66/7,205.70 = 1,842.46/x
  3. Step 3: Cross multiply
    4,804.66x = 7,205.70 × 1,842.46
  4. Step 4: Simplify right side
    4,804.66x = 13,276,214.02
  5. Step 5: Solve for x
    x = 13,276,214.02/4,804.66
  6. Step 6: Final answer
    x = 2,763.20

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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.