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Finding the Fourth Proportional to 2,977.61, 4,466.61 and 1,003.46

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Solution

The fourth proportional to 2,977.61, 4,466.61 and 1,003.46 is: 1,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.61 : 4,466.61 = 1,003.46 : x
  2. Step 2: Convert to fraction form
    2,977.61/4,466.61 = 1,003.46/x
  3. Step 3: Cross multiply
    2,977.61x = 4,466.61 × 1,003.46
  4. Step 4: Simplify right side
    2,977.61x = 4,482,042.14
  5. Step 5: Solve for x
    x = 4,482,042.14/2,977.61
  6. Step 6: Final answer
    x = 1,505.25

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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.