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Finding the Fourth Proportional to 1,735.83, 2,602.26 and 857.93

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Solution

The fourth proportional to 1,735.83, 2,602.26 and 857.93 is: 1,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.83 : 2,602.26 = 857.93 : x
  2. Step 2: Convert to fraction form
    1,735.83/2,602.26 = 857.93/x
  3. Step 3: Cross multiply
    1,735.83x = 2,602.26 × 857.93
  4. Step 4: Simplify right side
    1,735.83x = 2,232,543.91
  5. Step 5: Solve for x
    x = 2,232,543.91/1,735.83
  6. Step 6: Final answer
    x = 1,286.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.