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Finding the Fourth Proportional to 3,242.94, 4,864.65 and 934.62

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Solution

The fourth proportional to 3,242.94, 4,864.65 and 934.62 is: 1,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.94 : 4,864.65 = 934.62 : x
  2. Step 2: Convert to fraction form
    3,242.94/4,864.65 = 934.62/x
  3. Step 3: Cross multiply
    3,242.94x = 4,864.65 × 934.62
  4. Step 4: Simplify right side
    3,242.94x = 4,546,599.18
  5. Step 5: Solve for x
    x = 4,546,599.18/3,242.94
  6. Step 6: Final answer
    x = 1,402.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.