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Finding the Fourth Proportional to 3,055.24, 4,583.04 and 975.34

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Solution

The fourth proportional to 3,055.24, 4,583.04 and 975.34 is: 1,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.24 : 4,583.04 = 975.34 : x
  2. Step 2: Convert to fraction form
    3,055.24/4,583.04 = 975.34/x
  3. Step 3: Cross multiply
    3,055.24x = 4,583.04 × 975.34
  4. Step 4: Simplify right side
    3,055.24x = 4,470,022.23
  5. Step 5: Solve for x
    x = 4,470,022.23/3,055.24
  6. Step 6: Final answer
    x = 1,463.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.