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Finding the Fourth Proportional to 3,043.02, 4,562.46 and 962.34

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Solution

The fourth proportional to 3,043.02, 4,562.46 and 962.34 is: 1,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.02 : 4,562.46 = 962.34 : x
  2. Step 2: Convert to fraction form
    3,043.02/4,562.46 = 962.34/x
  3. Step 3: Cross multiply
    3,043.02x = 4,562.46 × 962.34
  4. Step 4: Simplify right side
    3,043.02x = 4,390,637.76
  5. Step 5: Solve for x
    x = 4,390,637.76/3,043.02
  6. Step 6: Final answer
    x = 1,442.86

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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.