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Finding the Fourth Proportional to 2,702.84, 4,054.48 and 854.08

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Solution

The fourth proportional to 2,702.84, 4,054.48 and 854.08 is: 1,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.84 : 4,054.48 = 854.08 : x
  2. Step 2: Convert to fraction form
    2,702.84/4,054.48 = 854.08/x
  3. Step 3: Cross multiply
    2,702.84x = 4,054.48 × 854.08
  4. Step 4: Simplify right side
    2,702.84x = 3,462,850.28
  5. Step 5: Solve for x
    x = 3,462,850.28/2,702.84
  6. Step 6: Final answer
    x = 1,281.19

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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.