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Finding the Fourth Proportional to 3,311.74, 4,570.32 and 1,895.64

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Solution

The fourth proportional to 3,311.74, 4,570.32 and 1,895.64 is: 2,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.74 : 4,570.32 = 1,895.64 : x
  2. Step 2: Convert to fraction form
    3,311.74/4,570.32 = 1,895.64/x
  3. Step 3: Cross multiply
    3,311.74x = 4,570.32 × 1,895.64
  4. Step 4: Simplify right side
    3,311.74x = 8,663,681.40
  5. Step 5: Solve for x
    x = 8,663,681.40/3,311.74
  6. Step 6: Final answer
    x = 2,616.05

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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.