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Finding the Fourth Proportional to 3,065.68, 4,596.70 and 1,309.79

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Solution

The fourth proportional to 3,065.68, 4,596.70 and 1,309.79 is: 1,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.68 : 4,596.70 = 1,309.79 : x
  2. Step 2: Convert to fraction form
    3,065.68/4,596.70 = 1,309.79/x
  3. Step 3: Cross multiply
    3,065.68x = 4,596.70 × 1,309.79
  4. Step 4: Simplify right side
    3,065.68x = 6,020,696.51
  5. Step 5: Solve for x
    x = 6,020,696.51/3,065.68
  6. Step 6: Final answer
    x = 1,963.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.