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Finding the Fourth Proportional to 2,065.02, 2,848.37 and 1,225.09

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Solution

The fourth proportional to 2,065.02, 2,848.37 and 1,225.09 is: 1,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.02 : 2,848.37 = 1,225.09 : x
  2. Step 2: Convert to fraction form
    2,065.02/2,848.37 = 1,225.09/x
  3. Step 3: Cross multiply
    2,065.02x = 2,848.37 × 1,225.09
  4. Step 4: Simplify right side
    2,065.02x = 3,489,509.60
  5. Step 5: Solve for x
    x = 3,489,509.60/2,065.02
  6. Step 6: Final answer
    x = 1,689.82

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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.