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Finding the Fourth Proportional to 2,590.23, 3,883.04 and 945.62

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Solution

The fourth proportional to 2,590.23, 3,883.04 and 945.62 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.23 : 3,883.04 = 945.62 : x
  2. Step 2: Convert to fraction form
    2,590.23/3,883.04 = 945.62/x
  3. Step 3: Cross multiply
    2,590.23x = 3,883.04 × 945.62
  4. Step 4: Simplify right side
    2,590.23x = 3,671,880.81
  5. Step 5: Solve for x
    x = 3,671,880.81/2,590.23
  6. Step 6: Final answer
    x = 1,417.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.