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Finding the Fourth Proportional to 2,466.65, 3,402.70 and 1,670.00

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Solution

The fourth proportional to 2,466.65, 3,402.70 and 1,670.00 is: 2,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.65 : 3,402.70 = 1,670.00 : x
  2. Step 2: Convert to fraction form
    2,466.65/3,402.70 = 1,670.00/x
  3. Step 3: Cross multiply
    2,466.65x = 3,402.70 × 1,670.00
  4. Step 4: Simplify right side
    2,466.65x = 5,682,491.99
  5. Step 5: Solve for x
    x = 5,682,491.99/2,466.65
  6. Step 6: Final answer
    x = 2,303.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.