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Finding the Fourth Proportional to 2,483.38, 3,722.00 and 1,166.40

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Solution

The fourth proportional to 2,483.38, 3,722.00 and 1,166.40 is: 1,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.38 : 3,722.00 = 1,166.40 : x
  2. Step 2: Convert to fraction form
    2,483.38/3,722.00 = 1,166.40/x
  3. Step 3: Cross multiply
    2,483.38x = 3,722.00 × 1,166.40
  4. Step 4: Simplify right side
    2,483.38x = 4,341,341.53
  5. Step 5: Solve for x
    x = 4,341,341.53/2,483.38
  6. Step 6: Final answer
    x = 1,748.16

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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.