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Finding the Fourth Proportional to 2,292.81, 3,420.12 and 2,071.35

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Solution

The fourth proportional to 2,292.81, 3,420.12 and 2,071.35 is: 3,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.81 : 3,420.12 = 2,071.35 : x
  2. Step 2: Convert to fraction form
    2,292.81/3,420.12 = 2,071.35/x
  3. Step 3: Cross multiply
    2,292.81x = 3,420.12 × 2,071.35
  4. Step 4: Simplify right side
    2,292.81x = 7,084,265.56
  5. Step 5: Solve for x
    x = 7,084,265.56/2,292.81
  6. Step 6: Final answer
    x = 3,089.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.