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Finding the Fourth Proportional to 2,684.17, 3,699.16 and 2,328.99

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Solution

The fourth proportional to 2,684.17, 3,699.16 and 2,328.99 is: 3,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.17 : 3,699.16 = 2,328.99 : x
  2. Step 2: Convert to fraction form
    2,684.17/3,699.16 = 2,328.99/x
  3. Step 3: Cross multiply
    2,684.17x = 3,699.16 × 2,328.99
  4. Step 4: Simplify right side
    2,684.17x = 8,615,306.65
  5. Step 5: Solve for x
    x = 8,615,306.65/2,684.17
  6. Step 6: Final answer
    x = 3,209.67

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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.