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Finding the Fourth Proportional to 2,988.69, 4,124.85 and 2,152.17

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Solution

The fourth proportional to 2,988.69, 4,124.85 and 2,152.17 is: 2,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.69 : 4,124.85 = 2,152.17 : x
  2. Step 2: Convert to fraction form
    2,988.69/4,124.85 = 2,152.17/x
  3. Step 3: Cross multiply
    2,988.69x = 4,124.85 × 2,152.17
  4. Step 4: Simplify right side
    2,988.69x = 8,877,378.42
  5. Step 5: Solve for x
    x = 8,877,378.42/2,988.69
  6. Step 6: Final answer
    x = 2,970.32

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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.