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Finding the Fourth Proportional to 2,703.09, 3,730.35 and 1,584.14

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Solution

The fourth proportional to 2,703.09, 3,730.35 and 1,584.14 is: 2,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.09 : 3,730.35 = 1,584.14 : x
  2. Step 2: Convert to fraction form
    2,703.09/3,730.35 = 1,584.14/x
  3. Step 3: Cross multiply
    2,703.09x = 3,730.35 × 1,584.14
  4. Step 4: Simplify right side
    2,703.09x = 5,909,378.00
  5. Step 5: Solve for x
    x = 5,909,378.00/2,703.09
  6. Step 6: Final answer
    x = 2,186.16

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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.