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Finding the Fourth Proportional to 3,432.08, 5,148.12 and 1,970.48

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Solution

The fourth proportional to 3,432.08, 5,148.12 and 1,970.48 is: 2,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.08 : 5,148.12 = 1,970.48 : x
  2. Step 2: Convert to fraction form
    3,432.08/5,148.12 = 1,970.48/x
  3. Step 3: Cross multiply
    3,432.08x = 5,148.12 × 1,970.48
  4. Step 4: Simplify right side
    3,432.08x = 10,144,267.50
  5. Step 5: Solve for x
    x = 10,144,267.50/3,432.08
  6. Step 6: Final answer
    x = 2,955.72

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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.