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Finding the Fourth Proportional to 2,159.07, 2,978.49 and 1,274.28

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Solution

The fourth proportional to 2,159.07, 2,978.49 and 1,274.28 is: 1,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.07 : 2,978.49 = 1,274.28 : x
  2. Step 2: Convert to fraction form
    2,159.07/2,978.49 = 1,274.28/x
  3. Step 3: Cross multiply
    2,159.07x = 2,978.49 × 1,274.28
  4. Step 4: Simplify right side
    2,159.07x = 3,795,430.24
  5. Step 5: Solve for x
    x = 3,795,430.24/2,159.07
  6. Step 6: Final answer
    x = 1,757.90

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1.5x scale

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.