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Finding the Fourth Proportional to 1,683.24, 2,525.22 and 587.64

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Solution

The fourth proportional to 1,683.24, 2,525.22 and 587.64 is: 881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.24 : 2,525.22 = 587.64 : x
  2. Step 2: Convert to fraction form
    1,683.24/2,525.22 = 587.64/x
  3. Step 3: Cross multiply
    1,683.24x = 2,525.22 × 587.64
  4. Step 4: Simplify right side
    1,683.24x = 1,483,920.28
  5. Step 5: Solve for x
    x = 1,483,920.28/1,683.24
  6. Step 6: Final answer
    x = 881.59

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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.