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Finding the Fourth Proportional to 2,902.55, 4,354.05 and 1,740.48

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Solution

The fourth proportional to 2,902.55, 4,354.05 and 1,740.48 is: 2,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.55 : 4,354.05 = 1,740.48 : x
  2. Step 2: Convert to fraction form
    2,902.55/4,354.05 = 1,740.48/x
  3. Step 3: Cross multiply
    2,902.55x = 4,354.05 × 1,740.48
  4. Step 4: Simplify right side
    2,902.55x = 7,578,117.35
  5. Step 5: Solve for x
    x = 7,578,117.35/2,902.55
  6. Step 6: Final answer
    x = 2,610.85

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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.