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Finding the Fourth Proportional to 2,970.12, 4,448.28 and 2,349.72

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Solution

The fourth proportional to 2,970.12, 4,448.28 and 2,349.72 is: 3,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.12 : 4,448.28 = 2,349.72 : x
  2. Step 2: Convert to fraction form
    2,970.12/4,448.28 = 2,349.72/x
  3. Step 3: Cross multiply
    2,970.12x = 4,448.28 × 2,349.72
  4. Step 4: Simplify right side
    2,970.12x = 10,452,212.48
  5. Step 5: Solve for x
    x = 10,452,212.48/2,970.12
  6. Step 6: Final answer
    x = 3,519.12

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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.