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Finding the Fourth Proportional to 3,057.07, 4,585.70 and 865.98

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Solution

The fourth proportional to 3,057.07, 4,585.70 and 865.98 is: 1,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.07 : 4,585.70 = 865.98 : x
  2. Step 2: Convert to fraction form
    3,057.07/4,585.70 = 865.98/x
  3. Step 3: Cross multiply
    3,057.07x = 4,585.70 × 865.98
  4. Step 4: Simplify right side
    3,057.07x = 3,971,124.49
  5. Step 5: Solve for x
    x = 3,971,124.49/3,057.07
  6. Step 6: Final answer
    x = 1,299.00

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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.