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Finding the Fourth Proportional to 1,475.18, 2,035.78 and 845.81

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Solution

The fourth proportional to 1,475.18, 2,035.78 and 845.81 is: 1,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.18 : 2,035.78 = 845.81 : x
  2. Step 2: Convert to fraction form
    1,475.18/2,035.78 = 845.81/x
  3. Step 3: Cross multiply
    1,475.18x = 2,035.78 × 845.81
  4. Step 4: Simplify right side
    1,475.18x = 1,721,886.06
  5. Step 5: Solve for x
    x = 1,721,886.06/1,475.18
  6. Step 6: Final answer
    x = 1,167.24

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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.