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Finding the Fourth Proportional to 2,706.30, 4,057.83 and 975.06

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Solution

The fourth proportional to 2,706.30, 4,057.83 and 975.06 is: 1,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.30 : 4,057.83 = 975.06 : x
  2. Step 2: Convert to fraction form
    2,706.30/4,057.83 = 975.06/x
  3. Step 3: Cross multiply
    2,706.30x = 4,057.83 × 975.06
  4. Step 4: Simplify right side
    2,706.30x = 3,956,627.72
  5. Step 5: Solve for x
    x = 3,956,627.72/2,706.30
  6. Step 6: Final answer
    x = 1,462.01

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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.