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Finding the Fourth Proportional to 1,904.65, 2,857.89 and 1,658.32

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Solution

The fourth proportional to 1,904.65, 2,857.89 and 1,658.32 is: 2,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.65 : 2,857.89 = 1,658.32 : x
  2. Step 2: Convert to fraction form
    1,904.65/2,857.89 = 1,658.32/x
  3. Step 3: Cross multiply
    1,904.65x = 2,857.89 × 1,658.32
  4. Step 4: Simplify right side
    1,904.65x = 4,739,296.14
  5. Step 5: Solve for x
    x = 4,739,296.14/1,904.65
  6. Step 6: Final answer
    x = 2,488.28

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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.