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Finding the Fourth Proportional to 2,832.51, 3,907.78 and 2,088.25

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Solution

The fourth proportional to 2,832.51, 3,907.78 and 2,088.25 is: 2,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.51 : 3,907.78 = 2,088.25 : x
  2. Step 2: Convert to fraction form
    2,832.51/3,907.78 = 2,088.25/x
  3. Step 3: Cross multiply
    2,832.51x = 3,907.78 × 2,088.25
  4. Step 4: Simplify right side
    2,832.51x = 8,160,421.59
  5. Step 5: Solve for x
    x = 8,160,421.59/2,832.51
  6. Step 6: Final answer
    x = 2,880.99

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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.