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Finding the Fourth Proportional to 1,771.68, 2,444.97 and 975.03

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Solution

The fourth proportional to 1,771.68, 2,444.97 and 975.03 is: 1,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.68 : 2,444.97 = 975.03 : x
  2. Step 2: Convert to fraction form
    1,771.68/2,444.97 = 975.03/x
  3. Step 3: Cross multiply
    1,771.68x = 2,444.97 × 975.03
  4. Step 4: Simplify right side
    1,771.68x = 2,383,919.10
  5. Step 5: Solve for x
    x = 2,383,919.10/1,771.68
  6. Step 6: Final answer
    x = 1,345.57

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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.