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Finding the Fourth Proportional to 2,225.82, 3,339.93 and 1,071.57

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Solution

The fourth proportional to 2,225.82, 3,339.93 and 1,071.57 is: 1,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.82 : 3,339.93 = 1,071.57 : x
  2. Step 2: Convert to fraction form
    2,225.82/3,339.93 = 1,071.57/x
  3. Step 3: Cross multiply
    2,225.82x = 3,339.93 × 1,071.57
  4. Step 4: Simplify right side
    2,225.82x = 3,578,968.79
  5. Step 5: Solve for x
    x = 3,578,968.79/2,225.82
  6. Step 6: Final answer
    x = 1,607.93

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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.