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Finding the Fourth Proportional to 1,699.95, 2,348.70 and 1,568.73

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Solution

The fourth proportional to 1,699.95, 2,348.70 and 1,568.73 is: 2,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.95 : 2,348.70 = 1,568.73 : x
  2. Step 2: Convert to fraction form
    1,699.95/2,348.70 = 1,568.73/x
  3. Step 3: Cross multiply
    1,699.95x = 2,348.70 × 1,568.73
  4. Step 4: Simplify right side
    1,699.95x = 3,684,476.15
  5. Step 5: Solve for x
    x = 3,684,476.15/1,699.95
  6. Step 6: Final answer
    x = 2,167.40

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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.