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Finding the Fourth Proportional to 3,055.67, 4,583.76 and 975.97

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Solution

The fourth proportional to 3,055.67, 4,583.76 and 975.97 is: 1,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.67 : 4,583.76 = 975.97 : x
  2. Step 2: Convert to fraction form
    3,055.67/4,583.76 = 975.97/x
  3. Step 3: Cross multiply
    3,055.67x = 4,583.76 × 975.97
  4. Step 4: Simplify right side
    3,055.67x = 4,473,612.25
  5. Step 5: Solve for x
    x = 4,473,612.25/3,055.67
  6. Step 6: Final answer
    x = 1,464.04

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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.