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Finding the Fourth Proportional to 1,776.64, 2,666.15 and 622.39

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Solution

The fourth proportional to 1,776.64, 2,666.15 and 622.39 is: 934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.64 : 2,666.15 = 622.39 : x
  2. Step 2: Convert to fraction form
    1,776.64/2,666.15 = 622.39/x
  3. Step 3: Cross multiply
    1,776.64x = 2,666.15 × 622.39
  4. Step 4: Simplify right side
    1,776.64x = 1,659,385.10
  5. Step 5: Solve for x
    x = 1,659,385.10/1,776.64
  6. Step 6: Final answer
    x = 934.00

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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.