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Finding the Fourth Proportional to 3,053.36, 4,580.38 and 972.88

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Solution

The fourth proportional to 3,053.36, 4,580.38 and 972.88 is: 1,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.36 : 4,580.38 = 972.88 : x
  2. Step 2: Convert to fraction form
    3,053.36/4,580.38 = 972.88/x
  3. Step 3: Cross multiply
    3,053.36x = 4,580.38 × 972.88
  4. Step 4: Simplify right side
    3,053.36x = 4,456,143.78
  5. Step 5: Solve for x
    x = 4,456,143.78/3,053.36
  6. Step 6: Final answer
    x = 1,459.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.