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Finding the Fourth Proportional to 1,592.58, 2,390.16 and 1,362.92

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Solution

The fourth proportional to 1,592.58, 2,390.16 and 1,362.92 is: 2,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.58 : 2,390.16 = 1,362.92 : x
  2. Step 2: Convert to fraction form
    1,592.58/2,390.16 = 1,362.92/x
  3. Step 3: Cross multiply
    1,592.58x = 2,390.16 × 1,362.92
  4. Step 4: Simplify right side
    1,592.58x = 3,257,596.87
  5. Step 5: Solve for x
    x = 3,257,596.87/1,592.58
  6. Step 6: Final answer
    x = 2,045.48

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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.