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Finding the Fourth Proportional to 2,470.50, 3,409.30 and 1,366.50

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Solution

The fourth proportional to 2,470.50, 3,409.30 and 1,366.50 is: 1,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.50 : 3,409.30 = 1,366.50 : x
  2. Step 2: Convert to fraction form
    2,470.50/3,409.30 = 1,366.50/x
  3. Step 3: Cross multiply
    2,470.50x = 3,409.30 × 1,366.50
  4. Step 4: Simplify right side
    2,470.50x = 4,658,808.45
  5. Step 5: Solve for x
    x = 4,658,808.45/2,470.50
  6. Step 6: Final answer
    x = 1,885.78

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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.