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Finding the Fourth Proportional to 2,678.88, 3,698.25 and 1,670.89

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Solution

The fourth proportional to 2,678.88, 3,698.25 and 1,670.89 is: 2,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.88 : 3,698.25 = 1,670.89 : x
  2. Step 2: Convert to fraction form
    2,678.88/3,698.25 = 1,670.89/x
  3. Step 3: Cross multiply
    2,678.88x = 3,698.25 × 1,670.89
  4. Step 4: Simplify right side
    2,678.88x = 6,179,368.94
  5. Step 5: Solve for x
    x = 6,179,368.94/2,678.88
  6. Step 6: Final answer
    x = 2,306.70

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1.5x scale

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.