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Finding the Fourth Proportional to 2,802.36, 4,203.54 and 2,456.76

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Solution

The fourth proportional to 2,802.36, 4,203.54 and 2,456.76 is: 3,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.36 : 4,203.54 = 2,456.76 : x
  2. Step 2: Convert to fraction form
    2,802.36/4,203.54 = 2,456.76/x
  3. Step 3: Cross multiply
    2,802.36x = 4,203.54 × 2,456.76
  4. Step 4: Simplify right side
    2,802.36x = 10,327,088.93
  5. Step 5: Solve for x
    x = 10,327,088.93/2,802.36
  6. Step 6: Final answer
    x = 3,685.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.