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Finding the Fourth Proportional to 4,554.46, 6,830.22 and 1,780.45

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Solution

The fourth proportional to 4,554.46, 6,830.22 and 1,780.45 is: 2,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.46 : 6,830.22 = 1,780.45 : x
  2. Step 2: Convert to fraction form
    4,554.46/6,830.22 = 1,780.45/x
  3. Step 3: Cross multiply
    4,554.46x = 6,830.22 × 1,780.45
  4. Step 4: Simplify right side
    4,554.46x = 12,160,865.20
  5. Step 5: Solve for x
    x = 12,160,865.20/4,554.46
  6. Step 6: Final answer
    x = 2,670.10

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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.