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Finding the Fourth Proportional to 3,059.67, 4,592.54 and 1,416.58

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Solution

The fourth proportional to 3,059.67, 4,592.54 and 1,416.58 is: 2,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.67 : 4,592.54 = 1,416.58 : x
  2. Step 2: Convert to fraction form
    3,059.67/4,592.54 = 1,416.58/x
  3. Step 3: Cross multiply
    3,059.67x = 4,592.54 × 1,416.58
  4. Step 4: Simplify right side
    3,059.67x = 6,505,700.31
  5. Step 5: Solve for x
    x = 6,505,700.31/3,059.67
  6. Step 6: Final answer
    x = 2,126.28

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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.