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Finding the Fourth Proportional to 2,615.74, 3,609.97 and 1,496.46

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Solution

The fourth proportional to 2,615.74, 3,609.97 and 1,496.46 is: 2,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.74 : 3,609.97 = 1,496.46 : x
  2. Step 2: Convert to fraction form
    2,615.74/3,609.97 = 1,496.46/x
  3. Step 3: Cross multiply
    2,615.74x = 3,609.97 × 1,496.46
  4. Step 4: Simplify right side
    2,615.74x = 5,402,175.71
  5. Step 5: Solve for x
    x = 5,402,175.71/2,615.74
  6. Step 6: Final answer
    x = 2,065.26

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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.