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Finding the Fourth Proportional to 3,129.80, 4,319.51 and 1,785.74

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Solution

The fourth proportional to 3,129.80, 4,319.51 and 1,785.74 is: 2,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.80 : 4,319.51 = 1,785.74 : x
  2. Step 2: Convert to fraction form
    3,129.80/4,319.51 = 1,785.74/x
  3. Step 3: Cross multiply
    3,129.80x = 4,319.51 × 1,785.74
  4. Step 4: Simplify right side
    3,129.80x = 7,713,521.79
  5. Step 5: Solve for x
    x = 7,713,521.79/3,129.80
  6. Step 6: Final answer
    x = 2,464.54

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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.