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Finding the Fourth Proportional to 3,041.48, 4,562.70 and 989

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Solution

The fourth proportional to 3,041.48, 4,562.70 and 989 is: 1,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.48 : 4,562.70 = 989 : x
  2. Step 2: Convert to fraction form
    3,041.48/4,562.70 = 989/x
  3. Step 3: Cross multiply
    3,041.48x = 4,562.70 × 989
  4. Step 4: Simplify right side
    3,041.48x = 4,512,510.30
  5. Step 5: Solve for x
    x = 4,512,510.30/3,041.48
  6. Step 6: Final answer
    x = 1,483.66

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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.