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Finding the Fourth Proportional to 2,475.94, 3,713.67 and 1,785.86

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Solution

The fourth proportional to 2,475.94, 3,713.67 and 1,785.86 is: 2,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.94 : 3,713.67 = 1,785.86 : x
  2. Step 2: Convert to fraction form
    2,475.94/3,713.67 = 1,785.86/x
  3. Step 3: Cross multiply
    2,475.94x = 3,713.67 × 1,785.86
  4. Step 4: Simplify right side
    2,475.94x = 6,632,094.71
  5. Step 5: Solve for x
    x = 6,632,094.71/2,475.94
  6. Step 6: Final answer
    x = 2,678.62

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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.