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Finding the Fourth Proportional to 4,555.18, 6,828.40 and 1,780.93

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Solution

The fourth proportional to 4,555.18, 6,828.40 and 1,780.93 is: 2,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.18 : 6,828.40 = 1,780.93 : x
  2. Step 2: Convert to fraction form
    4,555.18/6,828.40 = 1,780.93/x
  3. Step 3: Cross multiply
    4,555.18x = 6,828.40 × 1,780.93
  4. Step 4: Simplify right side
    4,555.18x = 12,160,902.41
  5. Step 5: Solve for x
    x = 12,160,902.41/4,555.18
  6. Step 6: Final answer
    x = 2,669.69

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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.