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Finding the Fourth Proportional to 2,290.47, 3,160.02 and 1,450.86

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Solution

The fourth proportional to 2,290.47, 3,160.02 and 1,450.86 is: 2,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.47 : 3,160.02 = 1,450.86 : x
  2. Step 2: Convert to fraction form
    2,290.47/3,160.02 = 1,450.86/x
  3. Step 3: Cross multiply
    2,290.47x = 3,160.02 × 1,450.86
  4. Step 4: Simplify right side
    2,290.47x = 4,584,746.62
  5. Step 5: Solve for x
    x = 4,584,746.62/2,290.47
  6. Step 6: Final answer
    x = 2,001.66

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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.