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Finding the Fourth Proportional to 1,926.84, 2,656.26 and 1,484.04

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Solution

The fourth proportional to 1,926.84, 2,656.26 and 1,484.04 is: 2,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.84 : 2,656.26 = 1,484.04 : x
  2. Step 2: Convert to fraction form
    1,926.84/2,656.26 = 1,484.04/x
  3. Step 3: Cross multiply
    1,926.84x = 2,656.26 × 1,484.04
  4. Step 4: Simplify right side
    1,926.84x = 3,941,996.09
  5. Step 5: Solve for x
    x = 3,941,996.09/1,926.84
  6. Step 6: Final answer
    x = 2,045.83

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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.