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Finding the Fourth Proportional to 1,445.76, 1,995.84 and 1,097.76

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Solution

The fourth proportional to 1,445.76, 1,995.84 and 1,097.76 is: 1,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.76 : 1,995.84 = 1,097.76 : x
  2. Step 2: Convert to fraction form
    1,445.76/1,995.84 = 1,097.76/x
  3. Step 3: Cross multiply
    1,445.76x = 1,995.84 × 1,097.76
  4. Step 4: Simplify right side
    1,445.76x = 2,190,953.32
  5. Step 5: Solve for x
    x = 2,190,953.32/1,445.76
  6. Step 6: Final answer
    x = 1,515.43

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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.