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Finding the Fourth Proportional to 2,838.96, 3,909.48 and 2,501.16

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Solution

The fourth proportional to 2,838.96, 3,909.48 and 2,501.16 is: 3,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.96 : 3,909.48 = 2,501.16 : x
  2. Step 2: Convert to fraction form
    2,838.96/3,909.48 = 2,501.16/x
  3. Step 3: Cross multiply
    2,838.96x = 3,909.48 × 2,501.16
  4. Step 4: Simplify right side
    2,838.96x = 9,778,235.00
  5. Step 5: Solve for x
    x = 9,778,235.00/2,838.96
  6. Step 6: Final answer
    x = 3,444.30

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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.