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Finding the Fourth Proportional to 2,119.40, 2,926.50 and 1,423.88

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Solution

The fourth proportional to 2,119.40, 2,926.50 and 1,423.88 is: 1,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.40 : 2,926.50 = 1,423.88 : x
  2. Step 2: Convert to fraction form
    2,119.40/2,926.50 = 1,423.88/x
  3. Step 3: Cross multiply
    2,119.40x = 2,926.50 × 1,423.88
  4. Step 4: Simplify right side
    2,119.40x = 4,166,984.82
  5. Step 5: Solve for x
    x = 4,166,984.82/2,119.40
  6. Step 6: Final answer
    x = 1,966.12

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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.