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Finding the Fourth Proportional to 3,210.74, 4,430.82 and 1,813.46

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Solution

The fourth proportional to 3,210.74, 4,430.82 and 1,813.46 is: 2,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.74 : 4,430.82 = 1,813.46 : x
  2. Step 2: Convert to fraction form
    3,210.74/4,430.82 = 1,813.46/x
  3. Step 3: Cross multiply
    3,210.74x = 4,430.82 × 1,813.46
  4. Step 4: Simplify right side
    3,210.74x = 8,035,114.84
  5. Step 5: Solve for x
    x = 8,035,114.84/3,210.74
  6. Step 6: Final answer
    x = 2,502.57

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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.