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Finding the Fourth Proportional to 1,702.16, 2,553.22 and 1,117.64

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Solution

The fourth proportional to 1,702.16, 2,553.22 and 1,117.64 is: 1,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.16 : 2,553.22 = 1,117.64 : x
  2. Step 2: Convert to fraction form
    1,702.16/2,553.22 = 1,117.64/x
  3. Step 3: Cross multiply
    1,702.16x = 2,553.22 × 1,117.64
  4. Step 4: Simplify right side
    1,702.16x = 2,853,580.80
  5. Step 5: Solve for x
    x = 2,853,580.80/1,702.16
  6. Step 6: Final answer
    x = 1,676.45

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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.