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Finding the Fourth Proportional to 2,948.69, 4,421.85 and 974.21

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Solution

The fourth proportional to 2,948.69, 4,421.85 and 974.21 is: 1,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.69 : 4,421.85 = 974.21 : x
  2. Step 2: Convert to fraction form
    2,948.69/4,421.85 = 974.21/x
  3. Step 3: Cross multiply
    2,948.69x = 4,421.85 × 974.21
  4. Step 4: Simplify right side
    2,948.69x = 4,307,788.38
  5. Step 5: Solve for x
    x = 4,307,788.38/2,948.69
  6. Step 6: Final answer
    x = 1,460.92

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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.