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Finding the Fourth Proportional to 2,888.15, 4,321.37 and 1,713.84

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Solution

The fourth proportional to 2,888.15, 4,321.37 and 1,713.84 is: 2,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.15 : 4,321.37 = 1,713.84 : x
  2. Step 2: Convert to fraction form
    2,888.15/4,321.37 = 1,713.84/x
  3. Step 3: Cross multiply
    2,888.15x = 4,321.37 × 1,713.84
  4. Step 4: Simplify right side
    2,888.15x = 7,406,128.19
  5. Step 5: Solve for x
    x = 7,406,128.19/2,888.15
  6. Step 6: Final answer
    x = 2,564.32

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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.