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Finding the Fourth Proportional to 2,702.89, 3,730.80 and 1,584.07

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Solution

The fourth proportional to 2,702.89, 3,730.80 and 1,584.07 is: 2,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.89 : 3,730.80 = 1,584.07 : x
  2. Step 2: Convert to fraction form
    2,702.89/3,730.80 = 1,584.07/x
  3. Step 3: Cross multiply
    2,702.89x = 3,730.80 × 1,584.07
  4. Step 4: Simplify right side
    2,702.89x = 5,909,848.36
  5. Step 5: Solve for x
    x = 5,909,848.36/2,702.89
  6. Step 6: Final answer
    x = 2,186.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.