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Finding the Fourth Proportional to 2,837.18, 4,256.00 and 988.25

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Solution

The fourth proportional to 2,837.18, 4,256.00 and 988.25 is: 1,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.18 : 4,256.00 = 988.25 : x
  2. Step 2: Convert to fraction form
    2,837.18/4,256.00 = 988.25/x
  3. Step 3: Cross multiply
    2,837.18x = 4,256.00 × 988.25
  4. Step 4: Simplify right side
    2,837.18x = 4,205,965.78
  5. Step 5: Solve for x
    x = 4,205,965.78/2,837.18
  6. Step 6: Final answer
    x = 1,482.45

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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.