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Finding the Fourth Proportional to 2,876.64, 4,314.12 and 1,643.82

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Solution

The fourth proportional to 2,876.64, 4,314.12 and 1,643.82 is: 2,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.64 : 4,314.12 = 1,643.82 : x
  2. Step 2: Convert to fraction form
    2,876.64/4,314.12 = 1,643.82/x
  3. Step 3: Cross multiply
    2,876.64x = 4,314.12 × 1,643.82
  4. Step 4: Simplify right side
    2,876.64x = 7,091,636.74
  5. Step 5: Solve for x
    x = 7,091,636.74/2,876.64
  6. Step 6: Final answer
    x = 2,465.25

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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.