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Finding the Fourth Proportional to 2,358.70, 3,256.02 and 1,474.32

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Solution

The fourth proportional to 2,358.70, 3,256.02 and 1,474.32 is: 2,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.70 : 3,256.02 = 1,474.32 : x
  2. Step 2: Convert to fraction form
    2,358.70/3,256.02 = 1,474.32/x
  3. Step 3: Cross multiply
    2,358.70x = 3,256.02 × 1,474.32
  4. Step 4: Simplify right side
    2,358.70x = 4,800,415.41
  5. Step 5: Solve for x
    x = 4,800,415.41/2,358.70
  6. Step 6: Final answer
    x = 2,035.20

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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.