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Finding the Fourth Proportional to 3,050.86, 4,210.17 and 1,653.61

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Solution

The fourth proportional to 3,050.86, 4,210.17 and 1,653.61 is: 2,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.86 : 4,210.17 = 1,653.61 : x
  2. Step 2: Convert to fraction form
    3,050.86/4,210.17 = 1,653.61/x
  3. Step 3: Cross multiply
    3,050.86x = 4,210.17 × 1,653.61
  4. Step 4: Simplify right side
    3,050.86x = 6,961,979.21
  5. Step 5: Solve for x
    x = 6,961,979.21/3,050.86
  6. Step 6: Final answer
    x = 2,281.97

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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.