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Finding the Fourth Proportional to 2,990.24, 4,485.60 and 910.40

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Solution

The fourth proportional to 2,990.24, 4,485.60 and 910.40 is: 1,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.24 : 4,485.60 = 910.40 : x
  2. Step 2: Convert to fraction form
    2,990.24/4,485.60 = 910.40/x
  3. Step 3: Cross multiply
    2,990.24x = 4,485.60 × 910.40
  4. Step 4: Simplify right side
    2,990.24x = 4,083,690.24
  5. Step 5: Solve for x
    x = 4,083,690.24/2,990.24
  6. Step 6: Final answer
    x = 1,365.67

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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.