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Finding the Fourth Proportional to 3,364.80, 4,643.38 and 1,948.68

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Solution

The fourth proportional to 3,364.80, 4,643.38 and 1,948.68 is: 2,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.80 : 4,643.38 = 1,948.68 : x
  2. Step 2: Convert to fraction form
    3,364.80/4,643.38 = 1,948.68/x
  3. Step 3: Cross multiply
    3,364.80x = 4,643.38 × 1,948.68
  4. Step 4: Simplify right side
    3,364.80x = 9,048,461.74
  5. Step 5: Solve for x
    x = 9,048,461.74/3,364.80
  6. Step 6: Final answer
    x = 2,689.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.