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Finding the Fourth Proportional to 1,615.94, 2,421.59 and 691.25

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Solution

The fourth proportional to 1,615.94, 2,421.59 and 691.25 is: 1,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.94 : 2,421.59 = 691.25 : x
  2. Step 2: Convert to fraction form
    1,615.94/2,421.59 = 691.25/x
  3. Step 3: Cross multiply
    1,615.94x = 2,421.59 × 691.25
  4. Step 4: Simplify right side
    1,615.94x = 1,673,908.52
  5. Step 5: Solve for x
    x = 1,673,908.52/1,615.94
  6. Step 6: Final answer
    x = 1,035.87

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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.