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Finding the Fourth Proportional to 1,697.06, 2,341.76 and 989.06

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Solution

The fourth proportional to 1,697.06, 2,341.76 and 989.06 is: 1,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.06 : 2,341.76 = 989.06 : x
  2. Step 2: Convert to fraction form
    1,697.06/2,341.76 = 989.06/x
  3. Step 3: Cross multiply
    1,697.06x = 2,341.76 × 989.06
  4. Step 4: Simplify right side
    1,697.06x = 2,316,124.49
  5. Step 5: Solve for x
    x = 2,316,124.49/1,697.06
  6. Step 6: Final answer
    x = 1,364.78

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Why These Related Problems?

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