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Finding the Fourth Proportional to 2,702.25, 4,048.13 and 1,774.99

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Solution

The fourth proportional to 2,702.25, 4,048.13 and 1,774.99 is: 2,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.25 : 4,048.13 = 1,774.99 : x
  2. Step 2: Convert to fraction form
    2,702.25/4,048.13 = 1,774.99/x
  3. Step 3: Cross multiply
    2,702.25x = 4,048.13 × 1,774.99
  4. Step 4: Simplify right side
    2,702.25x = 7,185,405.45
  5. Step 5: Solve for x
    x = 7,185,405.45/2,702.25
  6. Step 6: Final answer
    x = 2,659.05

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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.