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Finding the Fourth Proportional to 2,888.26, 3,985.80 and 1,561.96

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Solution

The fourth proportional to 2,888.26, 3,985.80 and 1,561.96 is: 2,155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.26 : 3,985.80 = 1,561.96 : x
  2. Step 2: Convert to fraction form
    2,888.26/3,985.80 = 1,561.96/x
  3. Step 3: Cross multiply
    2,888.26x = 3,985.80 × 1,561.96
  4. Step 4: Simplify right side
    2,888.26x = 6,225,660.17
  5. Step 5: Solve for x
    x = 6,225,660.17/2,888.26
  6. Step 6: Final answer
    x = 2,155.51

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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.