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Finding the Fourth Proportional to 2,661.83, 3,987.46 and 1,254.32

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Solution

The fourth proportional to 2,661.83, 3,987.46 and 1,254.32 is: 1,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.83 : 3,987.46 = 1,254.32 : x
  2. Step 2: Convert to fraction form
    2,661.83/3,987.46 = 1,254.32/x
  3. Step 3: Cross multiply
    2,661.83x = 3,987.46 × 1,254.32
  4. Step 4: Simplify right side
    2,661.83x = 5,001,547.41
  5. Step 5: Solve for x
    x = 5,001,547.41/2,661.83
  6. Step 6: Final answer
    x = 1,878.99

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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.