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Finding the Fourth Proportional to 1,595.73, 2,393.29 and 670.92

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Solution

The fourth proportional to 1,595.73, 2,393.29 and 670.92 is: 1,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.73 : 2,393.29 = 670.92 : x
  2. Step 2: Convert to fraction form
    1,595.73/2,393.29 = 670.92/x
  3. Step 3: Cross multiply
    1,595.73x = 2,393.29 × 670.92
  4. Step 4: Simplify right side
    1,595.73x = 1,605,706.13
  5. Step 5: Solve for x
    x = 1,605,706.13/1,595.73
  6. Step 6: Final answer
    x = 1,006.25

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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.