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Finding the Fourth Proportional to 2,385.96, 3,575.70 and 1,771.98

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Solution

The fourth proportional to 2,385.96, 3,575.70 and 1,771.98 is: 2,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.96 : 3,575.70 = 1,771.98 : x
  2. Step 2: Convert to fraction form
    2,385.96/3,575.70 = 1,771.98/x
  3. Step 3: Cross multiply
    2,385.96x = 3,575.70 × 1,771.98
  4. Step 4: Simplify right side
    2,385.96x = 6,336,068.89
  5. Step 5: Solve for x
    x = 6,336,068.89/2,385.96
  6. Step 6: Final answer
    x = 2,655.56

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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.