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Finding the Fourth Proportional to 3,065.71, 4,230.56 and 1,739.39

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Solution

The fourth proportional to 3,065.71, 4,230.56 and 1,739.39 is: 2,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.71 : 4,230.56 = 1,739.39 : x
  2. Step 2: Convert to fraction form
    3,065.71/4,230.56 = 1,739.39/x
  3. Step 3: Cross multiply
    3,065.71x = 4,230.56 × 1,739.39
  4. Step 4: Simplify right side
    3,065.71x = 7,358,581.51
  5. Step 5: Solve for x
    x = 7,358,581.51/3,065.71
  6. Step 6: Final answer
    x = 2,400.28

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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.