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Finding the Fourth Proportional to 2,308.70, 3,184.65 and 1,423.88

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Solution

The fourth proportional to 2,308.70, 3,184.65 and 1,423.88 is: 1,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.70 : 3,184.65 = 1,423.88 : x
  2. Step 2: Convert to fraction form
    2,308.70/3,184.65 = 1,423.88/x
  3. Step 3: Cross multiply
    2,308.70x = 3,184.65 × 1,423.88
  4. Step 4: Simplify right side
    2,308.70x = 4,534,543.52
  5. Step 5: Solve for x
    x = 4,534,543.52/2,308.70
  6. Step 6: Final answer
    x = 1,964.11

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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.