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Finding the Fourth Proportional to 1,650.63, 2,464.64 and 1,407.03

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Solution

The fourth proportional to 1,650.63, 2,464.64 and 1,407.03 is: 2,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.63 : 2,464.64 = 1,407.03 : x
  2. Step 2: Convert to fraction form
    1,650.63/2,464.64 = 1,407.03/x
  3. Step 3: Cross multiply
    1,650.63x = 2,464.64 × 1,407.03
  4. Step 4: Simplify right side
    1,650.63x = 3,467,815.38
  5. Step 5: Solve for x
    x = 3,467,815.38/1,650.63
  6. Step 6: Final answer
    x = 2,100.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.