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Finding the Fourth Proportional to 1,775.09, 2,449.77 and 989.19

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Solution

The fourth proportional to 1,775.09, 2,449.77 and 989.19 is: 1,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.09 : 2,449.77 = 989.19 : x
  2. Step 2: Convert to fraction form
    1,775.09/2,449.77 = 989.19/x
  3. Step 3: Cross multiply
    1,775.09x = 2,449.77 × 989.19
  4. Step 4: Simplify right side
    1,775.09x = 2,423,287.99
  5. Step 5: Solve for x
    x = 2,423,287.99/1,775.09
  6. Step 6: Final answer
    x = 1,365.16

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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.