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Finding the Fourth Proportional to 1,688.34, 2,330.37 and 989.94

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Solution

The fourth proportional to 1,688.34, 2,330.37 and 989.94 is: 1,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.34 : 2,330.37 = 989.94 : x
  2. Step 2: Convert to fraction form
    1,688.34/2,330.37 = 989.94/x
  3. Step 3: Cross multiply
    1,688.34x = 2,330.37 × 989.94
  4. Step 4: Simplify right side
    1,688.34x = 2,306,926.48
  5. Step 5: Solve for x
    x = 2,306,926.48/1,688.34
  6. Step 6: Final answer
    x = 1,366.39

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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.