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Finding the Fourth Proportional to 2,666.64, 4,000.56 and 935.28

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Solution

The fourth proportional to 2,666.64, 4,000.56 and 935.28 is: 1,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.64 : 4,000.56 = 935.28 : x
  2. Step 2: Convert to fraction form
    2,666.64/4,000.56 = 935.28/x
  3. Step 3: Cross multiply
    2,666.64x = 4,000.56 × 935.28
  4. Step 4: Simplify right side
    2,666.64x = 3,741,643.76
  5. Step 5: Solve for x
    x = 3,741,643.76/2,666.64
  6. Step 6: Final answer
    x = 1,403.13

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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.