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Finding the Fourth Proportional to 2,552.48, 3,828.38 and 992.35

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Solution

The fourth proportional to 2,552.48, 3,828.38 and 992.35 is: 1,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.48 : 3,828.38 = 992.35 : x
  2. Step 2: Convert to fraction form
    2,552.48/3,828.38 = 992.35/x
  3. Step 3: Cross multiply
    2,552.48x = 3,828.38 × 992.35
  4. Step 4: Simplify right side
    2,552.48x = 3,799,078.36
  5. Step 5: Solve for x
    x = 3,799,078.36/2,552.48
  6. Step 6: Final answer
    x = 1,488.39

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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.