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Finding the Fourth Proportional to 3,042.90, 4,564.13 and 962.98

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Solution

The fourth proportional to 3,042.90, 4,564.13 and 962.98 is: 1,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.90 : 4,564.13 = 962.98 : x
  2. Step 2: Convert to fraction form
    3,042.90/4,564.13 = 962.98/x
  3. Step 3: Cross multiply
    3,042.90x = 4,564.13 × 962.98
  4. Step 4: Simplify right side
    3,042.90x = 4,395,149.68
  5. Step 5: Solve for x
    x = 4,395,149.68/3,042.90
  6. Step 6: Final answer
    x = 1,444.40

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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.