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Finding the Fourth Proportional to 2,483.46, 3,421.71 and 1,642.68

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Solution

The fourth proportional to 2,483.46, 3,421.71 and 1,642.68 is: 2,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.46 : 3,421.71 = 1,642.68 : x
  2. Step 2: Convert to fraction form
    2,483.46/3,421.71 = 1,642.68/x
  3. Step 3: Cross multiply
    2,483.46x = 3,421.71 × 1,642.68
  4. Step 4: Simplify right side
    2,483.46x = 5,620,774.58
  5. Step 5: Solve for x
    x = 5,620,774.58/2,483.46
  6. Step 6: Final answer
    x = 2,263.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.