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Finding the Fourth Proportional to 2,948.02, 4,064.48 and 2,414.93

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Solution

The fourth proportional to 2,948.02, 4,064.48 and 2,414.93 is: 3,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.02 : 4,064.48 = 2,414.93 : x
  2. Step 2: Convert to fraction form
    2,948.02/4,064.48 = 2,414.93/x
  3. Step 3: Cross multiply
    2,948.02x = 4,064.48 × 2,414.93
  4. Step 4: Simplify right side
    2,948.02x = 9,815,434.69
  5. Step 5: Solve for x
    x = 9,815,434.69/2,948.02
  6. Step 6: Final answer
    x = 3,329.50

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Why These Related Problems?

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