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Finding the Fourth Proportional to 1,415.42, 1,954.35 and 974.37

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Solution

The fourth proportional to 1,415.42, 1,954.35 and 974.37 is: 1,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.42 : 1,954.35 = 974.37 : x
  2. Step 2: Convert to fraction form
    1,415.42/1,954.35 = 974.37/x
  3. Step 3: Cross multiply
    1,415.42x = 1,954.35 × 974.37
  4. Step 4: Simplify right side
    1,415.42x = 1,904,260.01
  5. Step 5: Solve for x
    x = 1,904,260.01/1,415.42
  6. Step 6: Final answer
    x = 1,345.37

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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.