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Finding the Fourth Proportional to 1,333.66, 2,000.61 and 346.47

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Solution

The fourth proportional to 1,333.66, 2,000.61 and 346.47 is: 519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.66 : 2,000.61 = 346.47 : x
  2. Step 2: Convert to fraction form
    1,333.66/2,000.61 = 346.47/x
  3. Step 3: Cross multiply
    1,333.66x = 2,000.61 × 346.47
  4. Step 4: Simplify right side
    1,333.66x = 693,151.35
  5. Step 5: Solve for x
    x = 693,151.35/1,333.66
  6. Step 6: Final answer
    x = 519.74

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