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Finding the Fourth Proportional to 2,762.62, 3,807.34 and 2,587.26

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Solution

The fourth proportional to 2,762.62, 3,807.34 and 2,587.26 is: 3,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.62 : 3,807.34 = 2,587.26 : x
  2. Step 2: Convert to fraction form
    2,762.62/3,807.34 = 2,587.26/x
  3. Step 3: Cross multiply
    2,762.62x = 3,807.34 × 2,587.26
  4. Step 4: Simplify right side
    2,762.62x = 9,850,578.49
  5. Step 5: Solve for x
    x = 9,850,578.49/2,762.62
  6. Step 6: Final answer
    x = 3,565.67

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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.