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Finding the Fourth Proportional to 4,702.08, 7,052.28 and 1,780.44

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Solution

The fourth proportional to 4,702.08, 7,052.28 and 1,780.44 is: 2,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.08 : 7,052.28 = 1,780.44 : x
  2. Step 2: Convert to fraction form
    4,702.08/7,052.28 = 1,780.44/x
  3. Step 3: Cross multiply
    4,702.08x = 7,052.28 × 1,780.44
  4. Step 4: Simplify right side
    4,702.08x = 12,556,161.40
  5. Step 5: Solve for x
    x = 12,556,161.40/4,702.08
  6. Step 6: Final answer
    x = 2,670.34

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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.