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Finding the Fourth Proportional to 2,470.99, 3,409.77 and 1,423.03

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Solution

The fourth proportional to 2,470.99, 3,409.77 and 1,423.03 is: 1,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.99 : 3,409.77 = 1,423.03 : x
  2. Step 2: Convert to fraction form
    2,470.99/3,409.77 = 1,423.03/x
  3. Step 3: Cross multiply
    2,470.99x = 3,409.77 × 1,423.03
  4. Step 4: Simplify right side
    2,470.99x = 4,852,205.00
  5. Step 5: Solve for x
    x = 4,852,205.00/2,470.99
  6. Step 6: Final answer
    x = 1,963.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.