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Finding the Fourth Proportional to 3,001.80, 4,502.70 and 1,705.80

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Solution

The fourth proportional to 3,001.80, 4,502.70 and 1,705.80 is: 2,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.80 : 4,502.70 = 1,705.80 : x
  2. Step 2: Convert to fraction form
    3,001.80/4,502.70 = 1,705.80/x
  3. Step 3: Cross multiply
    3,001.80x = 4,502.70 × 1,705.80
  4. Step 4: Simplify right side
    3,001.80x = 7,680,705.66
  5. Step 5: Solve for x
    x = 7,680,705.66/3,001.80
  6. Step 6: Final answer
    x = 2,558.70

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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.