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Finding the Fourth Proportional to 1,926.90, 2,659.14 and 1,484.01

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Solution

The fourth proportional to 1,926.90, 2,659.14 and 1,484.01 is: 2,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.90 : 2,659.14 = 1,484.01 : x
  2. Step 2: Convert to fraction form
    1,926.90/2,659.14 = 1,484.01/x
  3. Step 3: Cross multiply
    1,926.90x = 2,659.14 × 1,484.01
  4. Step 4: Simplify right side
    1,926.90x = 3,946,190.35
  5. Step 5: Solve for x
    x = 3,946,190.35/1,926.90
  6. Step 6: Final answer
    x = 2,047.95

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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.