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Finding the Fourth Proportional to 2,527, 3,487.62 and 2,416.30

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Solution

The fourth proportional to 2,527, 3,487.62 and 2,416.30 is: 3,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527 : 3,487.62 = 2,416.30 : x
  2. Step 2: Convert to fraction form
    2,527/3,487.62 = 2,416.30/x
  3. Step 3: Cross multiply
    2,527x = 3,487.62 × 2,416.30
  4. Step 4: Simplify right side
    2,527x = 8,427,136.21
  5. Step 5: Solve for x
    x = 8,427,136.21/2,527
  6. Step 6: Final answer
    x = 3,334.84

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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.