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Finding the Fourth Proportional to 2,580.45, 3,870.66 and 936.99

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Solution

The fourth proportional to 2,580.45, 3,870.66 and 936.99 is: 1,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.45 : 3,870.66 = 936.99 : x
  2. Step 2: Convert to fraction form
    2,580.45/3,870.66 = 936.99/x
  3. Step 3: Cross multiply
    2,580.45x = 3,870.66 × 936.99
  4. Step 4: Simplify right side
    2,580.45x = 3,626,769.71
  5. Step 5: Solve for x
    x = 3,626,769.71/2,580.45
  6. Step 6: Final answer
    x = 1,405.48

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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.