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Finding the Fourth Proportional to 2,006.24, 3,007.53 and 910.01

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Solution

The fourth proportional to 2,006.24, 3,007.53 and 910.01 is: 1,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.24 : 3,007.53 = 910.01 : x
  2. Step 2: Convert to fraction form
    2,006.24/3,007.53 = 910.01/x
  3. Step 3: Cross multiply
    2,006.24x = 3,007.53 × 910.01
  4. Step 4: Simplify right side
    2,006.24x = 2,736,889.89
  5. Step 5: Solve for x
    x = 2,736,889.89/2,006.24
  6. Step 6: Final answer
    x = 1,364.19

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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.