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Finding the Fourth Proportional to 1,615.32, 2,408.76 and 1,600.68

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Solution

The fourth proportional to 1,615.32, 2,408.76 and 1,600.68 is: 2,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.32 : 2,408.76 = 1,600.68 : x
  2. Step 2: Convert to fraction form
    1,615.32/2,408.76 = 1,600.68/x
  3. Step 3: Cross multiply
    1,615.32x = 2,408.76 × 1,600.68
  4. Step 4: Simplify right side
    1,615.32x = 3,855,653.96
  5. Step 5: Solve for x
    x = 3,855,653.96/1,615.32
  6. Step 6: Final answer
    x = 2,386.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.