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Finding the Fourth Proportional to 3,434.85, 4,740.15 and 1,863

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Solution

The fourth proportional to 3,434.85, 4,740.15 and 1,863 is: 2,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.85 : 4,740.15 = 1,863 : x
  2. Step 2: Convert to fraction form
    3,434.85/4,740.15 = 1,863/x
  3. Step 3: Cross multiply
    3,434.85x = 4,740.15 × 1,863
  4. Step 4: Simplify right side
    3,434.85x = 8,830,899.45
  5. Step 5: Solve for x
    x = 8,830,899.45/3,434.85
  6. Step 6: Final answer
    x = 2,570.97

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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.