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Finding the Fourth Proportional to 2,366.88, 3,264.80 and 1,528.64

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Solution

The fourth proportional to 2,366.88, 3,264.80 and 1,528.64 is: 2,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.88 : 3,264.80 = 1,528.64 : x
  2. Step 2: Convert to fraction form
    2,366.88/3,264.80 = 1,528.64/x
  3. Step 3: Cross multiply
    2,366.88x = 3,264.80 × 1,528.64
  4. Step 4: Simplify right side
    2,366.88x = 4,990,703.87
  5. Step 5: Solve for x
    x = 4,990,703.87/2,366.88
  6. Step 6: Final answer
    x = 2,108.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.