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Finding the Fourth Proportional to 1,688.11, 2,329.72 and 980.15

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Solution

The fourth proportional to 1,688.11, 2,329.72 and 980.15 is: 1,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.11 : 2,329.72 = 980.15 : x
  2. Step 2: Convert to fraction form
    1,688.11/2,329.72 = 980.15/x
  3. Step 3: Cross multiply
    1,688.11x = 2,329.72 × 980.15
  4. Step 4: Simplify right side
    1,688.11x = 2,283,475.06
  5. Step 5: Solve for x
    x = 2,283,475.06/1,688.11
  6. Step 6: Final answer
    x = 1,352.68

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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.