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Finding the Fourth Proportional to 2,500.89, 3,448.62 and 2,148

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Solution

The fourth proportional to 2,500.89, 3,448.62 and 2,148 is: 2,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.89 : 3,448.62 = 2,148 : x
  2. Step 2: Convert to fraction form
    2,500.89/3,448.62 = 2,148/x
  3. Step 3: Cross multiply
    2,500.89x = 3,448.62 × 2,148
  4. Step 4: Simplify right side
    2,500.89x = 7,407,635.76
  5. Step 5: Solve for x
    x = 7,407,635.76/2,500.89
  6. Step 6: Final answer
    x = 2,962.00

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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.