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Finding the Fourth Proportional to 2,378.84, 3,584.50 and 1,955.48

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Solution

The fourth proportional to 2,378.84, 3,584.50 and 1,955.48 is: 2,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.84 : 3,584.50 = 1,955.48 : x
  2. Step 2: Convert to fraction form
    2,378.84/3,584.50 = 1,955.48/x
  3. Step 3: Cross multiply
    2,378.84x = 3,584.50 × 1,955.48
  4. Step 4: Simplify right side
    2,378.84x = 7,009,418.06
  5. Step 5: Solve for x
    x = 7,009,418.06/2,378.84
  6. Step 6: Final answer
    x = 2,946.57

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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.