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Finding the Fourth Proportional to 2,156.70, 3,235.05 and 2,124.30

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Solution

The fourth proportional to 2,156.70, 3,235.05 and 2,124.30 is: 3,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.70 : 3,235.05 = 2,124.30 : x
  2. Step 2: Convert to fraction form
    2,156.70/3,235.05 = 2,124.30/x
  3. Step 3: Cross multiply
    2,156.70x = 3,235.05 × 2,124.30
  4. Step 4: Simplify right side
    2,156.70x = 6,872,216.72
  5. Step 5: Solve for x
    x = 6,872,216.72/2,156.70
  6. Step 6: Final answer
    x = 3,186.45

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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.