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Finding the Fourth Proportional to 1,411.23, 2,116.71 and 486.86

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Solution

The fourth proportional to 1,411.23, 2,116.71 and 486.86 is: 730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.23 : 2,116.71 = 486.86 : x
  2. Step 2: Convert to fraction form
    1,411.23/2,116.71 = 486.86/x
  3. Step 3: Cross multiply
    1,411.23x = 2,116.71 × 486.86
  4. Step 4: Simplify right side
    1,411.23x = 1,030,530.85
  5. Step 5: Solve for x
    x = 1,030,530.85/1,411.23
  6. Step 6: Final answer
    x = 730.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.