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Finding the Fourth Proportional to 3,175.04, 4,762.60 and 983.76

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Solution

The fourth proportional to 3,175.04, 4,762.60 and 983.76 is: 1,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.04 : 4,762.60 = 983.76 : x
  2. Step 2: Convert to fraction form
    3,175.04/4,762.60 = 983.76/x
  3. Step 3: Cross multiply
    3,175.04x = 4,762.60 × 983.76
  4. Step 4: Simplify right side
    3,175.04x = 4,685,255.38
  5. Step 5: Solve for x
    x = 4,685,255.38/3,175.04
  6. Step 6: Final answer
    x = 1,475.65

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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.