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Finding the Fourth Proportional to 3,054.87, 4,582.63 and 974.38

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Solution

The fourth proportional to 3,054.87, 4,582.63 and 974.38 is: 1,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.87 : 4,582.63 = 974.38 : x
  2. Step 2: Convert to fraction form
    3,054.87/4,582.63 = 974.38/x
  3. Step 3: Cross multiply
    3,054.87x = 4,582.63 × 974.38
  4. Step 4: Simplify right side
    3,054.87x = 4,465,223.02
  5. Step 5: Solve for x
    x = 4,465,223.02/3,054.87
  6. Step 6: Final answer
    x = 1,461.67

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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.