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Finding the Fourth Proportional to 2,468.71, 3,703.08 and 1,006.84

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Solution

The fourth proportional to 2,468.71, 3,703.08 and 1,006.84 is: 1,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.71 : 3,703.08 = 1,006.84 : x
  2. Step 2: Convert to fraction form
    2,468.71/3,703.08 = 1,006.84/x
  3. Step 3: Cross multiply
    2,468.71x = 3,703.08 × 1,006.84
  4. Step 4: Simplify right side
    2,468.71x = 3,728,409.07
  5. Step 5: Solve for x
    x = 3,728,409.07/2,468.71
  6. Step 6: Final answer
    x = 1,510.27

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1.5x scale

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.