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Finding the Fourth Proportional to 3,011.70, 4,156.25 and 1,685.53

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Solution

The fourth proportional to 3,011.70, 4,156.25 and 1,685.53 is: 2,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.70 : 4,156.25 = 1,685.53 : x
  2. Step 2: Convert to fraction form
    3,011.70/4,156.25 = 1,685.53/x
  3. Step 3: Cross multiply
    3,011.70x = 4,156.25 × 1,685.53
  4. Step 4: Simplify right side
    3,011.70x = 7,005,484.06
  5. Step 5: Solve for x
    x = 7,005,484.06/3,011.70
  6. Step 6: Final answer
    x = 2,326.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.