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Finding the Fourth Proportional to 3,000.47, 4,500.95 and 1,026.02

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Solution

The fourth proportional to 3,000.47, 4,500.95 and 1,026.02 is: 1,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.47 : 4,500.95 = 1,026.02 : x
  2. Step 2: Convert to fraction form
    3,000.47/4,500.95 = 1,026.02/x
  3. Step 3: Cross multiply
    3,000.47x = 4,500.95 × 1,026.02
  4. Step 4: Simplify right side
    3,000.47x = 4,618,037.08
  5. Step 5: Solve for x
    x = 4,618,037.08/3,000.47
  6. Step 6: Final answer
    x = 1,539.11

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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.