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Finding the Fourth Proportional to 2,982.51, 4,115.03 and 1,864.58

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Solution

The fourth proportional to 2,982.51, 4,115.03 and 1,864.58 is: 2,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.51 : 4,115.03 = 1,864.58 : x
  2. Step 2: Convert to fraction form
    2,982.51/4,115.03 = 1,864.58/x
  3. Step 3: Cross multiply
    2,982.51x = 4,115.03 × 1,864.58
  4. Step 4: Simplify right side
    2,982.51x = 7,672,802.64
  5. Step 5: Solve for x
    x = 7,672,802.64/2,982.51
  6. Step 6: Final answer
    x = 2,572.60

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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.