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Finding the Fourth Proportional to 2,457.33, 3,699.84 and 2,166.70

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Solution

The fourth proportional to 2,457.33, 3,699.84 and 2,166.70 is: 3,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.33 : 3,699.84 = 2,166.70 : x
  2. Step 2: Convert to fraction form
    2,457.33/3,699.84 = 2,166.70/x
  3. Step 3: Cross multiply
    2,457.33x = 3,699.84 × 2,166.70
  4. Step 4: Simplify right side
    2,457.33x = 8,016,424.83
  5. Step 5: Solve for x
    x = 8,016,424.83/2,457.33
  6. Step 6: Final answer
    x = 3,262.26

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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.