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Finding the Fourth Proportional to 1,650.86, 2,477.64 and 1,129.58

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Solution

The fourth proportional to 1,650.86, 2,477.64 and 1,129.58 is: 1,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.86 : 2,477.64 = 1,129.58 : x
  2. Step 2: Convert to fraction form
    1,650.86/2,477.64 = 1,129.58/x
  3. Step 3: Cross multiply
    1,650.86x = 2,477.64 × 1,129.58
  4. Step 4: Simplify right side
    1,650.86x = 2,798,692.59
  5. Step 5: Solve for x
    x = 2,798,692.59/1,650.86
  6. Step 6: Final answer
    x = 1,695.29

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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.