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Finding the Fourth Proportional to 2,578.64, 3,554.48 and 2,158.25

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Solution

The fourth proportional to 2,578.64, 3,554.48 and 2,158.25 is: 2,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.64 : 3,554.48 = 2,158.25 : x
  2. Step 2: Convert to fraction form
    2,578.64/3,554.48 = 2,158.25/x
  3. Step 3: Cross multiply
    2,578.64x = 3,554.48 × 2,158.25
  4. Step 4: Simplify right side
    2,578.64x = 7,671,444.08
  5. Step 5: Solve for x
    x = 7,671,444.08/2,578.64
  6. Step 6: Final answer
    x = 2,975.00

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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.