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Finding the Fourth Proportional to 1,988.86, 2,981.02 and 947.39

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Solution

The fourth proportional to 1,988.86, 2,981.02 and 947.39 is: 1,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.86 : 2,981.02 = 947.39 : x
  2. Step 2: Convert to fraction form
    1,988.86/2,981.02 = 947.39/x
  3. Step 3: Cross multiply
    1,988.86x = 2,981.02 × 947.39
  4. Step 4: Simplify right side
    1,988.86x = 2,824,173.04
  5. Step 5: Solve for x
    x = 2,824,173.04/1,988.86
  6. Step 6: Final answer
    x = 1,420.00

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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.