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Finding the Fourth Proportional to 2,785.02, 4,176.63 and 935.70

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Solution

The fourth proportional to 2,785.02, 4,176.63 and 935.70 is: 1,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.02 : 4,176.63 = 935.70 : x
  2. Step 2: Convert to fraction form
    2,785.02/4,176.63 = 935.70/x
  3. Step 3: Cross multiply
    2,785.02x = 4,176.63 × 935.70
  4. Step 4: Simplify right side
    2,785.02x = 3,908,072.69
  5. Step 5: Solve for x
    x = 3,908,072.69/2,785.02
  6. Step 6: Final answer
    x = 1,403.25

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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.