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Finding the Fourth Proportional to 1,786.79, 2,465.76 and 1,000.84

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Solution

The fourth proportional to 1,786.79, 2,465.76 and 1,000.84 is: 1,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.79 : 2,465.76 = 1,000.84 : x
  2. Step 2: Convert to fraction form
    1,786.79/2,465.76 = 1,000.84/x
  3. Step 3: Cross multiply
    1,786.79x = 2,465.76 × 1,000.84
  4. Step 4: Simplify right side
    1,786.79x = 2,467,828.83
  5. Step 5: Solve for x
    x = 2,467,828.83/1,786.79
  6. Step 6: Final answer
    x = 1,381.16

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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.