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Finding the Fourth Proportional to 1,666.86, 2,500.41 and 512.64

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Solution

The fourth proportional to 1,666.86, 2,500.41 and 512.64 is: 769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.86 : 2,500.41 = 512.64 : x
  2. Step 2: Convert to fraction form
    1,666.86/2,500.41 = 512.64/x
  3. Step 3: Cross multiply
    1,666.86x = 2,500.41 × 512.64
  4. Step 4: Simplify right side
    1,666.86x = 1,281,810.18
  5. Step 5: Solve for x
    x = 1,281,810.18/1,666.86
  6. Step 6: Final answer
    x = 769.00

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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.