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Finding the Fourth Proportional to 1,702.13, 2,549.73 and 1,264.73

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Solution

The fourth proportional to 1,702.13, 2,549.73 and 1,264.73 is: 1,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.13 : 2,549.73 = 1,264.73 : x
  2. Step 2: Convert to fraction form
    1,702.13/2,549.73 = 1,264.73/x
  3. Step 3: Cross multiply
    1,702.13x = 2,549.73 × 1,264.73
  4. Step 4: Simplify right side
    1,702.13x = 3,224,720.02
  5. Step 5: Solve for x
    x = 3,224,720.02/1,702.13
  6. Step 6: Final answer
    x = 1,894.52

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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.