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Finding the Fourth Proportional to 1,702.54, 2,555.08 and 1,264.80

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Solution

The fourth proportional to 1,702.54, 2,555.08 and 1,264.80 is: 1,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.54 : 2,555.08 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    1,702.54/2,555.08 = 1,264.80/x
  3. Step 3: Cross multiply
    1,702.54x = 2,555.08 × 1,264.80
  4. Step 4: Simplify right side
    1,702.54x = 3,231,662.02
  5. Step 5: Solve for x
    x = 3,231,662.02/1,702.54
  6. Step 6: Final answer
    x = 1,898.14

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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.