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Finding the Fourth Proportional to 2,456.84, 3,681.81 and 2,090.18

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Solution

The fourth proportional to 2,456.84, 3,681.81 and 2,090.18 is: 3,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.84 : 3,681.81 = 2,090.18 : x
  2. Step 2: Convert to fraction form
    2,456.84/3,681.81 = 2,090.18/x
  3. Step 3: Cross multiply
    2,456.84x = 3,681.81 × 2,090.18
  4. Step 4: Simplify right side
    2,456.84x = 7,695,654.83
  5. Step 5: Solve for x
    x = 7,695,654.83/2,456.84
  6. Step 6: Final answer
    x = 3,132.34

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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.