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Finding the Fourth Proportional to 2,780.79, 3,838.47 and 1,719.37

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Solution

The fourth proportional to 2,780.79, 3,838.47 and 1,719.37 is: 2,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.79 : 3,838.47 = 1,719.37 : x
  2. Step 2: Convert to fraction form
    2,780.79/3,838.47 = 1,719.37/x
  3. Step 3: Cross multiply
    2,780.79x = 3,838.47 × 1,719.37
  4. Step 4: Simplify right side
    2,780.79x = 6,599,748.51
  5. Step 5: Solve for x
    x = 6,599,748.51/2,780.79
  6. Step 6: Final answer
    x = 2,373.33

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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.