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Finding the Fourth Proportional to 3,162.54, 4,741.77 and 1,314.93

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Solution

The fourth proportional to 3,162.54, 4,741.77 and 1,314.93 is: 1,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.54 : 4,741.77 = 1,314.93 : x
  2. Step 2: Convert to fraction form
    3,162.54/4,741.77 = 1,314.93/x
  3. Step 3: Cross multiply
    3,162.54x = 4,741.77 × 1,314.93
  4. Step 4: Simplify right side
    3,162.54x = 6,235,095.63
  5. Step 5: Solve for x
    x = 6,235,095.63/3,162.54
  6. Step 6: Final answer
    x = 1,971.55

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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.