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Finding the Fourth Proportional to 1,688.19, 2,329.67 and 980.00

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Solution

The fourth proportional to 1,688.19, 2,329.67 and 980.00 is: 1,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.19 : 2,329.67 = 980.00 : x
  2. Step 2: Convert to fraction form
    1,688.19/2,329.67 = 980.00/x
  3. Step 3: Cross multiply
    1,688.19x = 2,329.67 × 980.00
  4. Step 4: Simplify right side
    1,688.19x = 2,283,060.05
  5. Step 5: Solve for x
    x = 2,283,060.05/1,688.19
  6. Step 6: Final answer
    x = 1,352.37

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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.