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Finding the Fourth Proportional to 2,319.82, 3,462.86 and 2,148.50

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Solution

The fourth proportional to 2,319.82, 3,462.86 and 2,148.50 is: 3,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.82 : 3,462.86 = 2,148.50 : x
  2. Step 2: Convert to fraction form
    2,319.82/3,462.86 = 2,148.50/x
  3. Step 3: Cross multiply
    2,319.82x = 3,462.86 × 2,148.50
  4. Step 4: Simplify right side
    2,319.82x = 7,439,954.71
  5. Step 5: Solve for x
    x = 7,439,954.71/2,319.82
  6. Step 6: Final answer
    x = 3,207.13

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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.