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Finding the Fourth Proportional to 3,119.68, 4,304.74 and 1,775.32

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Solution

The fourth proportional to 3,119.68, 4,304.74 and 1,775.32 is: 2,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.68 : 4,304.74 = 1,775.32 : x
  2. Step 2: Convert to fraction form
    3,119.68/4,304.74 = 1,775.32/x
  3. Step 3: Cross multiply
    3,119.68x = 4,304.74 × 1,775.32
  4. Step 4: Simplify right side
    3,119.68x = 7,642,291.02
  5. Step 5: Solve for x
    x = 7,642,291.02/3,119.68
  6. Step 6: Final answer
    x = 2,449.70

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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.