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Finding the Fourth Proportional to 2,407.99, 3,605.01 and 1,480.74

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Solution

The fourth proportional to 2,407.99, 3,605.01 and 1,480.74 is: 2,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.99 : 3,605.01 = 1,480.74 : x
  2. Step 2: Convert to fraction form
    2,407.99/3,605.01 = 1,480.74/x
  3. Step 3: Cross multiply
    2,407.99x = 3,605.01 × 1,480.74
  4. Step 4: Simplify right side
    2,407.99x = 5,338,082.51
  5. Step 5: Solve for x
    x = 5,338,082.51/2,407.99
  6. Step 6: Final answer
    x = 2,216.82

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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.