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Finding the Fourth Proportional to 2,989.42, 4,484.58 and 1,041.22

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Solution

The fourth proportional to 2,989.42, 4,484.58 and 1,041.22 is: 1,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.42 : 4,484.58 = 1,041.22 : x
  2. Step 2: Convert to fraction form
    2,989.42/4,484.58 = 1,041.22/x
  3. Step 3: Cross multiply
    2,989.42x = 4,484.58 × 1,041.22
  4. Step 4: Simplify right side
    2,989.42x = 4,669,434.39
  5. Step 5: Solve for x
    x = 4,669,434.39/2,989.42
  6. Step 6: Final answer
    x = 1,561.99

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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.