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Finding the Fourth Proportional to 2,116.41, 2,920.64 and 1,184.91

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Solution

The fourth proportional to 2,116.41, 2,920.64 and 1,184.91 is: 1,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.41 : 2,920.64 = 1,184.91 : x
  2. Step 2: Convert to fraction form
    2,116.41/2,920.64 = 1,184.91/x
  3. Step 3: Cross multiply
    2,116.41x = 2,920.64 × 1,184.91
  4. Step 4: Simplify right side
    2,116.41x = 3,460,698.50
  5. Step 5: Solve for x
    x = 3,460,698.50/2,116.41
  6. Step 6: Final answer
    x = 1,635.17

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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.