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Finding the Fourth Proportional to 1,504.60, 2,252.10 and 1,456.60

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Solution

The fourth proportional to 1,504.60, 2,252.10 and 1,456.60 is: 2,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.60 : 2,252.10 = 1,456.60 : x
  2. Step 2: Convert to fraction form
    1,504.60/2,252.10 = 1,456.60/x
  3. Step 3: Cross multiply
    1,504.60x = 2,252.10 × 1,456.60
  4. Step 4: Simplify right side
    1,504.60x = 3,280,408.86
  5. Step 5: Solve for x
    x = 3,280,408.86/1,504.60
  6. Step 6: Final answer
    x = 2,180.25

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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.