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Finding the Fourth Proportional to 2,702.44, 3,705.05 and 2,653.24

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Solution

The fourth proportional to 2,702.44, 3,705.05 and 2,653.24 is: 3,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.44 : 3,705.05 = 2,653.24 : x
  2. Step 2: Convert to fraction form
    2,702.44/3,705.05 = 2,653.24/x
  3. Step 3: Cross multiply
    2,702.44x = 3,705.05 × 2,653.24
  4. Step 4: Simplify right side
    2,702.44x = 9,830,386.86
  5. Step 5: Solve for x
    x = 9,830,386.86/2,702.44
  6. Step 6: Final answer
    x = 3,637.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.