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Finding the Fourth Proportional to 2,299.60, 3,448.14 and 1,570

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Solution

The fourth proportional to 2,299.60, 3,448.14 and 1,570 is: 2,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.60 : 3,448.14 = 1,570 : x
  2. Step 2: Convert to fraction form
    2,299.60/3,448.14 = 1,570/x
  3. Step 3: Cross multiply
    2,299.60x = 3,448.14 × 1,570
  4. Step 4: Simplify right side
    2,299.60x = 5,413,579.80
  5. Step 5: Solve for x
    x = 5,413,579.80/2,299.60
  6. Step 6: Final answer
    x = 2,354.14

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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.