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Finding the Fourth Proportional to 2,853.65, 4,275.79 and 1,755.70

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Solution

The fourth proportional to 2,853.65, 4,275.79 and 1,755.70 is: 2,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.65 : 4,275.79 = 1,755.70 : x
  2. Step 2: Convert to fraction form
    2,853.65/4,275.79 = 1,755.70/x
  3. Step 3: Cross multiply
    2,853.65x = 4,275.79 × 1,755.70
  4. Step 4: Simplify right side
    2,853.65x = 7,506,989.42
  5. Step 5: Solve for x
    x = 7,506,989.42/2,853.65
  6. Step 6: Final answer
    x = 2,630.66

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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.