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Finding the Fourth Proportional to 1,757.94, 2,425.97 and 972.01

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Solution

The fourth proportional to 1,757.94, 2,425.97 and 972.01 is: 1,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.94 : 2,425.97 = 972.01 : x
  2. Step 2: Convert to fraction form
    1,757.94/2,425.97 = 972.01/x
  3. Step 3: Cross multiply
    1,757.94x = 2,425.97 × 972.01
  4. Step 4: Simplify right side
    1,757.94x = 2,358,067.10
  5. Step 5: Solve for x
    x = 2,358,067.10/1,757.94
  6. Step 6: Final answer
    x = 1,341.38

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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.