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Finding the Fourth Proportional to 3,172.98, 4,761.58 and 1,417.40

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Solution

The fourth proportional to 3,172.98, 4,761.58 and 1,417.40 is: 2,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.98 : 4,761.58 = 1,417.40 : x
  2. Step 2: Convert to fraction form
    3,172.98/4,761.58 = 1,417.40/x
  3. Step 3: Cross multiply
    3,172.98x = 4,761.58 × 1,417.40
  4. Step 4: Simplify right side
    3,172.98x = 6,749,032.60
  5. Step 5: Solve for x
    x = 6,749,032.60/3,172.98
  6. Step 6: Final answer
    x = 2,127.04

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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.