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Finding the Fourth Proportional to 1,664.36, 2,491.16 and 1,225.52

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Solution

The fourth proportional to 1,664.36, 2,491.16 and 1,225.52 is: 1,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.36 : 2,491.16 = 1,225.52 : x
  2. Step 2: Convert to fraction form
    1,664.36/2,491.16 = 1,225.52/x
  3. Step 3: Cross multiply
    1,664.36x = 2,491.16 × 1,225.52
  4. Step 4: Simplify right side
    1,664.36x = 3,052,966.50
  5. Step 5: Solve for x
    x = 3,052,966.50/1,664.36
  6. Step 6: Final answer
    x = 1,834.32

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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.