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Finding the Fourth Proportional to 1,568.24, 2,350.77 and 983.65

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Solution

The fourth proportional to 1,568.24, 2,350.77 and 983.65 is: 1,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.24 : 2,350.77 = 983.65 : x
  2. Step 2: Convert to fraction form
    1,568.24/2,350.77 = 983.65/x
  3. Step 3: Cross multiply
    1,568.24x = 2,350.77 × 983.65
  4. Step 4: Simplify right side
    1,568.24x = 2,312,332.72
  5. Step 5: Solve for x
    x = 2,312,332.72/1,568.24
  6. Step 6: Final answer
    x = 1,474.48

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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.