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Finding the Fourth Proportional to 2,926.38, 4,035.54 and 2,366.46

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Solution

The fourth proportional to 2,926.38, 4,035.54 and 2,366.46 is: 3,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.38 : 4,035.54 = 2,366.46 : x
  2. Step 2: Convert to fraction form
    2,926.38/4,035.54 = 2,366.46/x
  3. Step 3: Cross multiply
    2,926.38x = 4,035.54 × 2,366.46
  4. Step 4: Simplify right side
    2,926.38x = 9,549,943.99
  5. Step 5: Solve for x
    x = 9,549,943.99/2,926.38
  6. Step 6: Final answer
    x = 3,263.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.