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Finding the Fourth Proportional to 1,475.22, 2,035.72 and 845.62

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Solution

The fourth proportional to 1,475.22, 2,035.72 and 845.62 is: 1,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.22 : 2,035.72 = 845.62 : x
  2. Step 2: Convert to fraction form
    1,475.22/2,035.72 = 845.62/x
  3. Step 3: Cross multiply
    1,475.22x = 2,035.72 × 845.62
  4. Step 4: Simplify right side
    1,475.22x = 1,721,445.55
  5. Step 5: Solve for x
    x = 1,721,445.55/1,475.22
  6. Step 6: Final answer
    x = 1,166.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.