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Finding the Fourth Proportional to 2,785.32, 4,174.28 and 2,324.00

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Solution

The fourth proportional to 2,785.32, 4,174.28 and 2,324.00 is: 3,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.32 : 4,174.28 = 2,324.00 : x
  2. Step 2: Convert to fraction form
    2,785.32/4,174.28 = 2,324.00/x
  3. Step 3: Cross multiply
    2,785.32x = 4,174.28 × 2,324.00
  4. Step 4: Simplify right side
    2,785.32x = 9,700,994.23
  5. Step 5: Solve for x
    x = 9,700,994.23/2,785.32
  6. Step 6: Final answer
    x = 3,482.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.