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Finding the Fourth Proportional to 2,989.58, 4,484.21 and 909.53

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Solution

The fourth proportional to 2,989.58, 4,484.21 and 909.53 is: 1,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.58 : 4,484.21 = 909.53 : x
  2. Step 2: Convert to fraction form
    2,989.58/4,484.21 = 909.53/x
  3. Step 3: Cross multiply
    2,989.58x = 4,484.21 × 909.53
  4. Step 4: Simplify right side
    2,989.58x = 4,078,513.37
  5. Step 5: Solve for x
    x = 4,078,513.37/2,989.58
  6. Step 6: Final answer
    x = 1,364.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.