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Finding the Fourth Proportional to 1,456.51, 2,184.60 and 416.60

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Solution

The fourth proportional to 1,456.51, 2,184.60 and 416.60 is: 624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.51 : 2,184.60 = 416.60 : x
  2. Step 2: Convert to fraction form
    1,456.51/2,184.60 = 416.60/x
  3. Step 3: Cross multiply
    1,456.51x = 2,184.60 × 416.60
  4. Step 4: Simplify right side
    1,456.51x = 910,104.36
  5. Step 5: Solve for x
    x = 910,104.36/1,456.51
  6. Step 6: Final answer
    x = 624.85

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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.