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Finding the Fourth Proportional to 1,590.96, 2,397.42 and 1,516.80

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Solution

The fourth proportional to 1,590.96, 2,397.42 and 1,516.80 is: 2,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.96 : 2,397.42 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    1,590.96/2,397.42 = 1,516.80/x
  3. Step 3: Cross multiply
    1,590.96x = 2,397.42 × 1,516.80
  4. Step 4: Simplify right side
    1,590.96x = 3,636,406.66
  5. Step 5: Solve for x
    x = 3,636,406.66/1,590.96
  6. Step 6: Final answer
    x = 2,285.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.