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Finding the Fourth Proportional to 1,926.29, 2,888.98 and 539.69

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Solution

The fourth proportional to 1,926.29, 2,888.98 and 539.69 is: 809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.29 : 2,888.98 = 539.69 : x
  2. Step 2: Convert to fraction form
    1,926.29/2,888.98 = 539.69/x
  3. Step 3: Cross multiply
    1,926.29x = 2,888.98 × 539.69
  4. Step 4: Simplify right side
    1,926.29x = 1,559,137.82
  5. Step 5: Solve for x
    x = 1,559,137.82/1,926.29
  6. Step 6: Final answer
    x = 809.40

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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.