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Finding the Fourth Proportional to 1,643.83, 2,466.42 and 718.91

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Solution

The fourth proportional to 1,643.83, 2,466.42 and 718.91 is: 1,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.83 : 2,466.42 = 718.91 : x
  2. Step 2: Convert to fraction form
    1,643.83/2,466.42 = 718.91/x
  3. Step 3: Cross multiply
    1,643.83x = 2,466.42 × 718.91
  4. Step 4: Simplify right side
    1,643.83x = 1,773,134.00
  5. Step 5: Solve for x
    x = 1,773,134.00/1,643.83
  6. Step 6: Final answer
    x = 1,078.66

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Why These Related Problems?

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