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Finding the Fourth Proportional to 1,766.08, 2,437.08 and 969.25

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Solution

The fourth proportional to 1,766.08, 2,437.08 and 969.25 is: 1,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.08 : 2,437.08 = 969.25 : x
  2. Step 2: Convert to fraction form
    1,766.08/2,437.08 = 969.25/x
  3. Step 3: Cross multiply
    1,766.08x = 2,437.08 × 969.25
  4. Step 4: Simplify right side
    1,766.08x = 2,362,139.79
  5. Step 5: Solve for x
    x = 2,362,139.79/1,766.08
  6. Step 6: Final answer
    x = 1,337.50

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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.