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Finding the Fourth Proportional to 1,784.33, 2,688.67 and 1,466.81

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Solution

The fourth proportional to 1,784.33, 2,688.67 and 1,466.81 is: 2,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.33 : 2,688.67 = 1,466.81 : x
  2. Step 2: Convert to fraction form
    1,784.33/2,688.67 = 1,466.81/x
  3. Step 3: Cross multiply
    1,784.33x = 2,688.67 × 1,466.81
  4. Step 4: Simplify right side
    1,784.33x = 3,943,750.93
  5. Step 5: Solve for x
    x = 3,943,750.93/1,784.33
  6. Step 6: Final answer
    x = 2,210.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.