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Finding the Fourth Proportional to 4,605.12, 6,907.50 and 1,318.20

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Solution

The fourth proportional to 4,605.12, 6,907.50 and 1,318.20 is: 1,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.12 : 6,907.50 = 1,318.20 : x
  2. Step 2: Convert to fraction form
    4,605.12/6,907.50 = 1,318.20/x
  3. Step 3: Cross multiply
    4,605.12x = 6,907.50 × 1,318.20
  4. Step 4: Simplify right side
    4,605.12x = 9,105,466.50
  5. Step 5: Solve for x
    x = 9,105,466.50/4,605.12
  6. Step 6: Final answer
    x = 1,977.25

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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.