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Finding the Fourth Proportional to 1,590.65, 2,193.80 and 1,217.04

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Solution

The fourth proportional to 1,590.65, 2,193.80 and 1,217.04 is: 1,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.65 : 2,193.80 = 1,217.04 : x
  2. Step 2: Convert to fraction form
    1,590.65/2,193.80 = 1,217.04/x
  3. Step 3: Cross multiply
    1,590.65x = 2,193.80 × 1,217.04
  4. Step 4: Simplify right side
    1,590.65x = 2,669,936.27
  5. Step 5: Solve for x
    x = 2,669,936.27/1,590.65
  6. Step 6: Final answer
    x = 1,678.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.