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Finding the Fourth Proportional to 2,948.67, 4,068.14 and 1,829.20

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Solution

The fourth proportional to 2,948.67, 4,068.14 and 1,829.20 is: 2,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.67 : 4,068.14 = 1,829.20 : x
  2. Step 2: Convert to fraction form
    2,948.67/4,068.14 = 1,829.20/x
  3. Step 3: Cross multiply
    2,948.67x = 4,068.14 × 1,829.20
  4. Step 4: Simplify right side
    2,948.67x = 7,441,441.69
  5. Step 5: Solve for x
    x = 7,441,441.69/2,948.67
  6. Step 6: Final answer
    x = 2,523.66

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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.