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Finding the Fourth Proportional to 3,065.14, 4,230.02 and 1,739.08

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Solution

The fourth proportional to 3,065.14, 4,230.02 and 1,739.08 is: 2,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.14 : 4,230.02 = 1,739.08 : x
  2. Step 2: Convert to fraction form
    3,065.14/4,230.02 = 1,739.08/x
  3. Step 3: Cross multiply
    3,065.14x = 4,230.02 × 1,739.08
  4. Step 4: Simplify right side
    3,065.14x = 7,356,343.18
  5. Step 5: Solve for x
    x = 7,356,343.18/3,065.14
  6. Step 6: Final answer
    x = 2,400.00

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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.