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Finding the Fourth Proportional to 1,590.70, 2,193.64 and 1,217.69

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Solution

The fourth proportional to 1,590.70, 2,193.64 and 1,217.69 is: 1,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.70 : 2,193.64 = 1,217.69 : x
  2. Step 2: Convert to fraction form
    1,590.70/2,193.64 = 1,217.69/x
  3. Step 3: Cross multiply
    1,590.70x = 2,193.64 × 1,217.69
  4. Step 4: Simplify right side
    1,590.70x = 2,671,173.49
  5. Step 5: Solve for x
    x = 2,671,173.49/1,590.70
  6. Step 6: Final answer
    x = 1,679.24

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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.