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Finding the Fourth Proportional to 1,892.58, 2,602.49 and 1,643.45

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Solution

The fourth proportional to 1,892.58, 2,602.49 and 1,643.45 is: 2,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.58 : 2,602.49 = 1,643.45 : x
  2. Step 2: Convert to fraction form
    1,892.58/2,602.49 = 1,643.45/x
  3. Step 3: Cross multiply
    1,892.58x = 2,602.49 × 1,643.45
  4. Step 4: Simplify right side
    1,892.58x = 4,277,040.96
  5. Step 5: Solve for x
    x = 4,277,040.96/1,892.58
  6. Step 6: Final answer
    x = 2,259.90

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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.