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Finding the Fourth Proportional to 1,474.10, 2,034.34 and 975.86

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Solution

The fourth proportional to 1,474.10, 2,034.34 and 975.86 is: 1,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.10 : 2,034.34 = 975.86 : x
  2. Step 2: Convert to fraction form
    1,474.10/2,034.34 = 975.86/x
  3. Step 3: Cross multiply
    1,474.10x = 2,034.34 × 975.86
  4. Step 4: Simplify right side
    1,474.10x = 1,985,231.03
  5. Step 5: Solve for x
    x = 1,985,231.03/1,474.10
  6. Step 6: Final answer
    x = 1,346.74

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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.