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Finding the Fourth Proportional to 2,457.69, 3,686.49 and 1,224.74

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Solution

The fourth proportional to 2,457.69, 3,686.49 and 1,224.74 is: 1,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.69 : 3,686.49 = 1,224.74 : x
  2. Step 2: Convert to fraction form
    2,457.69/3,686.49 = 1,224.74/x
  3. Step 3: Cross multiply
    2,457.69x = 3,686.49 × 1,224.74
  4. Step 4: Simplify right side
    2,457.69x = 4,514,973.33
  5. Step 5: Solve for x
    x = 4,514,973.33/2,457.69
  6. Step 6: Final answer
    x = 1,837.08

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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.