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Finding the Fourth Proportional to 3,210.76, 4,430.63 and 1,813.24

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Solution

The fourth proportional to 3,210.76, 4,430.63 and 1,813.24 is: 2,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.76 : 4,430.63 = 1,813.24 : x
  2. Step 2: Convert to fraction form
    3,210.76/4,430.63 = 1,813.24/x
  3. Step 3: Cross multiply
    3,210.76x = 4,430.63 × 1,813.24
  4. Step 4: Simplify right side
    3,210.76x = 8,033,786.48
  5. Step 5: Solve for x
    x = 8,033,786.48/3,210.76
  6. Step 6: Final answer
    x = 2,502.14

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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.