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Finding the Fourth Proportional to 2,389.05, 3,582.36 and 928.62

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Solution

The fourth proportional to 2,389.05, 3,582.36 and 928.62 is: 1,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.05 : 3,582.36 = 928.62 : x
  2. Step 2: Convert to fraction form
    2,389.05/3,582.36 = 928.62/x
  3. Step 3: Cross multiply
    2,389.05x = 3,582.36 × 928.62
  4. Step 4: Simplify right side
    2,389.05x = 3,326,651.14
  5. Step 5: Solve for x
    x = 3,326,651.14/2,389.05
  6. Step 6: Final answer
    x = 1,392.46

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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.