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Finding the Fourth Proportional to 1,702.61, 2,348.40 and 1,645.46

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Solution

The fourth proportional to 1,702.61, 2,348.40 and 1,645.46 is: 2,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.61 : 2,348.40 = 1,645.46 : x
  2. Step 2: Convert to fraction form
    1,702.61/2,348.40 = 1,645.46/x
  3. Step 3: Cross multiply
    1,702.61x = 2,348.40 × 1,645.46
  4. Step 4: Simplify right side
    1,702.61x = 3,864,201.50
  5. Step 5: Solve for x
    x = 3,864,201.50/1,702.61
  6. Step 6: Final answer
    x = 2,269.58

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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.