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Finding the Fourth Proportional to 1,315.86, 1,814.06 and 895.56

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Solution

The fourth proportional to 1,315.86, 1,814.06 and 895.56 is: 1,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.86 : 1,814.06 = 895.56 : x
  2. Step 2: Convert to fraction form
    1,315.86/1,814.06 = 895.56/x
  3. Step 3: Cross multiply
    1,315.86x = 1,814.06 × 895.56
  4. Step 4: Simplify right side
    1,315.86x = 1,624,595.10
  5. Step 5: Solve for x
    x = 1,624,595.10/1,315.86
  6. Step 6: Final answer
    x = 1,234.63

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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.