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Finding the Fourth Proportional to 1,246.07, 1,871.08 and 895.24

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Solution

The fourth proportional to 1,246.07, 1,871.08 and 895.24 is: 1,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.07 : 1,871.08 = 895.24 : x
  2. Step 2: Convert to fraction form
    1,246.07/1,871.08 = 895.24/x
  3. Step 3: Cross multiply
    1,246.07x = 1,871.08 × 895.24
  4. Step 4: Simplify right side
    1,246.07x = 1,675,065.66
  5. Step 5: Solve for x
    x = 1,675,065.66/1,246.07
  6. Step 6: Final answer
    x = 1,344.28

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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.