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Finding the Fourth Proportional to 2,592.30, 3,887.03 and 1,771.50

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Solution

The fourth proportional to 2,592.30, 3,887.03 and 1,771.50 is: 2,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.30 : 3,887.03 = 1,771.50 : x
  2. Step 2: Convert to fraction form
    2,592.30/3,887.03 = 1,771.50/x
  3. Step 3: Cross multiply
    2,592.30x = 3,887.03 × 1,771.50
  4. Step 4: Simplify right side
    2,592.30x = 6,885,864.79
  5. Step 5: Solve for x
    x = 6,885,864.79/2,592.30
  6. Step 6: Final answer
    x = 2,656.28

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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.