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Finding the Fourth Proportional to 1,688.52, 2,330.01 and 980.49

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Solution

The fourth proportional to 1,688.52, 2,330.01 and 980.49 is: 1,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.52 : 2,330.01 = 980.49 : x
  2. Step 2: Convert to fraction form
    1,688.52/2,330.01 = 980.49/x
  3. Step 3: Cross multiply
    1,688.52x = 2,330.01 × 980.49
  4. Step 4: Simplify right side
    1,688.52x = 2,284,551.50
  5. Step 5: Solve for x
    x = 2,284,551.50/1,688.52
  6. Step 6: Final answer
    x = 1,352.99

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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.