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Finding the Fourth Proportional to 1,681.56, 2,321.01 and 1,092.06

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Solution

The fourth proportional to 1,681.56, 2,321.01 and 1,092.06 is: 1,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.56 : 2,321.01 = 1,092.06 : x
  2. Step 2: Convert to fraction form
    1,681.56/2,321.01 = 1,092.06/x
  3. Step 3: Cross multiply
    1,681.56x = 2,321.01 × 1,092.06
  4. Step 4: Simplify right side
    1,681.56x = 2,534,682.18
  5. Step 5: Solve for x
    x = 2,534,682.18/1,681.56
  6. Step 6: Final answer
    x = 1,507.34

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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.