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Finding the Fourth Proportional to 1,774.08, 2,661.12 and 678.78

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Solution

The fourth proportional to 1,774.08, 2,661.12 and 678.78 is: 1,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.08 : 2,661.12 = 678.78 : x
  2. Step 2: Convert to fraction form
    1,774.08/2,661.12 = 678.78/x
  3. Step 3: Cross multiply
    1,774.08x = 2,661.12 × 678.78
  4. Step 4: Simplify right side
    1,774.08x = 1,806,315.03
  5. Step 5: Solve for x
    x = 1,806,315.03/1,774.08
  6. Step 6: Final answer
    x = 1,018.17

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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.