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Finding the Fourth Proportional to 2,470.40, 3,724.28 and 2,336.45

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Solution

The fourth proportional to 2,470.40, 3,724.28 and 2,336.45 is: 3,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.40 : 3,724.28 = 2,336.45 : x
  2. Step 2: Convert to fraction form
    2,470.40/3,724.28 = 2,336.45/x
  3. Step 3: Cross multiply
    2,470.40x = 3,724.28 × 2,336.45
  4. Step 4: Simplify right side
    2,470.40x = 8,701,572.46
  5. Step 5: Solve for x
    x = 8,701,572.46/2,470.40
  6. Step 6: Final answer
    x = 3,522.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.