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Finding the Fourth Proportional to 1,474.92, 2,035.91 and 977.72

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Solution

The fourth proportional to 1,474.92, 2,035.91 and 977.72 is: 1,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.92 : 2,035.91 = 977.72 : x
  2. Step 2: Convert to fraction form
    1,474.92/2,035.91 = 977.72/x
  3. Step 3: Cross multiply
    1,474.92x = 2,035.91 × 977.72
  4. Step 4: Simplify right side
    1,474.92x = 1,990,557.46
  5. Step 5: Solve for x
    x = 1,990,557.46/1,474.92
  6. Step 6: Final answer
    x = 1,349.60

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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.