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Finding the Fourth Proportional to 1,688.02, 2,328.96 and 989.26

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Solution

The fourth proportional to 1,688.02, 2,328.96 and 989.26 is: 1,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.02 : 2,328.96 = 989.26 : x
  2. Step 2: Convert to fraction form
    1,688.02/2,328.96 = 989.26/x
  3. Step 3: Cross multiply
    1,688.02x = 2,328.96 × 989.26
  4. Step 4: Simplify right side
    1,688.02x = 2,303,946.97
  5. Step 5: Solve for x
    x = 2,303,946.97/1,688.02
  6. Step 6: Final answer
    x = 1,364.88

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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.