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Finding the Fourth Proportional to 2,807.16, 4,210.77 and 1,162.83

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Solution

The fourth proportional to 2,807.16, 4,210.77 and 1,162.83 is: 1,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.16 : 4,210.77 = 1,162.83 : x
  2. Step 2: Convert to fraction form
    2,807.16/4,210.77 = 1,162.83/x
  3. Step 3: Cross multiply
    2,807.16x = 4,210.77 × 1,162.83
  4. Step 4: Simplify right side
    2,807.16x = 4,896,409.68
  5. Step 5: Solve for x
    x = 4,896,409.68/2,807.16
  6. Step 6: Final answer
    x = 1,744.26

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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.