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Finding the Fourth Proportional to 2,888.64, 4,332.96 and 2,109.02

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Solution

The fourth proportional to 2,888.64, 4,332.96 and 2,109.02 is: 3,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.64 : 4,332.96 = 2,109.02 : x
  2. Step 2: Convert to fraction form
    2,888.64/4,332.96 = 2,109.02/x
  3. Step 3: Cross multiply
    2,888.64x = 4,332.96 × 2,109.02
  4. Step 4: Simplify right side
    2,888.64x = 9,138,277.63
  5. Step 5: Solve for x
    x = 9,138,277.63/2,888.64
  6. Step 6: Final answer
    x = 3,163.52

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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.