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Finding the Fourth Proportional to 2,448.79, 3,666.62 and 1,407.22

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Solution

The fourth proportional to 2,448.79, 3,666.62 and 1,407.22 is: 2,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.79 : 3,666.62 = 1,407.22 : x
  2. Step 2: Convert to fraction form
    2,448.79/3,666.62 = 1,407.22/x
  3. Step 3: Cross multiply
    2,448.79x = 3,666.62 × 1,407.22
  4. Step 4: Simplify right side
    2,448.79x = 5,159,735.35
  5. Step 5: Solve for x
    x = 5,159,735.35/2,448.79
  6. Step 6: Final answer
    x = 2,107.06

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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.