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Finding the Fourth Proportional to 1,699.60, 2,549.88 and 969.70

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Solution

The fourth proportional to 1,699.60, 2,549.88 and 969.70 is: 1,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.60 : 2,549.88 = 969.70 : x
  2. Step 2: Convert to fraction form
    1,699.60/2,549.88 = 969.70/x
  3. Step 3: Cross multiply
    1,699.60x = 2,549.88 × 969.70
  4. Step 4: Simplify right side
    1,699.60x = 2,472,618.64
  5. Step 5: Solve for x
    x = 2,472,618.64/1,699.60
  6. Step 6: Final answer
    x = 1,454.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.