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Finding the Fourth Proportional to 2,390.69, 3,583.98 and 909.08

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Solution

The fourth proportional to 2,390.69, 3,583.98 and 909.08 is: 1,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.69 : 3,583.98 = 909.08 : x
  2. Step 2: Convert to fraction form
    2,390.69/3,583.98 = 909.08/x
  3. Step 3: Cross multiply
    2,390.69x = 3,583.98 × 909.08
  4. Step 4: Simplify right side
    2,390.69x = 3,258,106.62
  5. Step 5: Solve for x
    x = 3,258,106.62/2,390.69
  6. Step 6: Final answer
    x = 1,362.83

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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.