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Finding the Fourth Proportional to 1,797.98, 2,479.11 and 1,159.07

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Solution

The fourth proportional to 1,797.98, 2,479.11 and 1,159.07 is: 1,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.98 : 2,479.11 = 1,159.07 : x
  2. Step 2: Convert to fraction form
    1,797.98/2,479.11 = 1,159.07/x
  3. Step 3: Cross multiply
    1,797.98x = 2,479.11 × 1,159.07
  4. Step 4: Simplify right side
    1,797.98x = 2,873,462.03
  5. Step 5: Solve for x
    x = 2,873,462.03/1,797.98
  6. Step 6: Final answer
    x = 1,598.16

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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.