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Finding the Fourth Proportional to 1,511.64, 2,267.53 and 416.00

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Solution

The fourth proportional to 1,511.64, 2,267.53 and 416.00 is: 624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.64 : 2,267.53 = 416.00 : x
  2. Step 2: Convert to fraction form
    1,511.64/2,267.53 = 416.00/x
  3. Step 3: Cross multiply
    1,511.64x = 2,267.53 × 416.00
  4. Step 4: Simplify right side
    1,511.64x = 943,297.11
  5. Step 5: Solve for x
    x = 943,297.11/1,511.64
  6. Step 6: Final answer
    x = 624.02

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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.