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Finding the Fourth Proportional to 2,988.50, 4,124.13 and 1,746.50

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Solution

The fourth proportional to 2,988.50, 4,124.13 and 1,746.50 is: 2,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.50 : 4,124.13 = 1,746.50 : x
  2. Step 2: Convert to fraction form
    2,988.50/4,124.13 = 1,746.50/x
  3. Step 3: Cross multiply
    2,988.50x = 4,124.13 × 1,746.50
  4. Step 4: Simplify right side
    2,988.50x = 7,202,793.05
  5. Step 5: Solve for x
    x = 7,202,793.05/2,988.50
  6. Step 6: Final answer
    x = 2,410.17

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