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Finding the Fourth Proportional to 3,054.93, 4,582.66 and 975.23

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Solution

The fourth proportional to 3,054.93, 4,582.66 and 975.23 is: 1,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.93 : 4,582.66 = 975.23 : x
  2. Step 2: Convert to fraction form
    3,054.93/4,582.66 = 975.23/x
  3. Step 3: Cross multiply
    3,054.93x = 4,582.66 × 975.23
  4. Step 4: Simplify right side
    3,054.93x = 4,469,147.51
  5. Step 5: Solve for x
    x = 4,469,147.51/3,054.93
  6. Step 6: Final answer
    x = 1,462.93

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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.