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Finding the Fourth Proportional to 4,804.61, 7,206.93 and 1,341.86

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Solution

The fourth proportional to 4,804.61, 7,206.93 and 1,341.86 is: 2,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.61 : 7,206.93 = 1,341.86 : x
  2. Step 2: Convert to fraction form
    4,804.61/7,206.93 = 1,341.86/x
  3. Step 3: Cross multiply
    4,804.61x = 7,206.93 × 1,341.86
  4. Step 4: Simplify right side
    4,804.61x = 9,670,655.06
  5. Step 5: Solve for x
    x = 9,670,655.06/4,804.61
  6. Step 6: Final answer
    x = 2,012.79

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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.