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Finding the Fourth Proportional to 1,698.90, 2,381.70 and 1,698.90

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Solution

The fourth proportional to 1,698.90, 2,381.70 and 1,698.90 is: 2,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.90 : 2,381.70 = 1,698.90 : x
  2. Step 2: Convert to fraction form
    1,698.90/2,381.70 = 1,698.90/x
  3. Step 3: Cross multiply
    1,698.90x = 2,381.70 × 1,698.90
  4. Step 4: Simplify right side
    1,698.90x = 4,046,270.13
  5. Step 5: Solve for x
    x = 4,046,270.13/1,698.90
  6. Step 6: Final answer
    x = 2,381.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.