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Finding the Fourth Proportional to 3,298.03, 4,948.67 and 1,543.16

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Solution

The fourth proportional to 3,298.03, 4,948.67 and 1,543.16 is: 2,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.03 : 4,948.67 = 1,543.16 : x
  2. Step 2: Convert to fraction form
    3,298.03/4,948.67 = 1,543.16/x
  3. Step 3: Cross multiply
    3,298.03x = 4,948.67 × 1,543.16
  4. Step 4: Simplify right side
    3,298.03x = 7,636,589.60
  5. Step 5: Solve for x
    x = 7,636,589.60/3,298.03
  6. Step 6: Final answer
    x = 2,315.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.