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Finding the Fourth Proportional to 2,476.09, 3,714.71 and 1,015.25

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Solution

The fourth proportional to 2,476.09, 3,714.71 and 1,015.25 is: 1,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.09 : 3,714.71 = 1,015.25 : x
  2. Step 2: Convert to fraction form
    2,476.09/3,714.71 = 1,015.25/x
  3. Step 3: Cross multiply
    2,476.09x = 3,714.71 × 1,015.25
  4. Step 4: Simplify right side
    2,476.09x = 3,771,346.61
  5. Step 5: Solve for x
    x = 3,771,346.61/2,476.09
  6. Step 6: Final answer
    x = 1,523.10

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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.