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Finding the Fourth Proportional to 1,966.66, 2,950.08 and 1,392.10

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Solution

The fourth proportional to 1,966.66, 2,950.08 and 1,392.10 is: 2,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.66 : 2,950.08 = 1,392.10 : x
  2. Step 2: Convert to fraction form
    1,966.66/2,950.08 = 1,392.10/x
  3. Step 3: Cross multiply
    1,966.66x = 2,950.08 × 1,392.10
  4. Step 4: Simplify right side
    1,966.66x = 4,106,806.37
  5. Step 5: Solve for x
    x = 4,106,806.37/1,966.66
  6. Step 6: Final answer
    x = 2,088.21

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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.