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Finding the Fourth Proportional to 1,553.57, 2,330.76 and 895.85

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Solution

The fourth proportional to 1,553.57, 2,330.76 and 895.85 is: 1,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.57 : 2,330.76 = 895.85 : x
  2. Step 2: Convert to fraction form
    1,553.57/2,330.76 = 895.85/x
  3. Step 3: Cross multiply
    1,553.57x = 2,330.76 × 895.85
  4. Step 4: Simplify right side
    1,553.57x = 2,088,011.35
  5. Step 5: Solve for x
    x = 2,088,011.35/1,553.57
  6. Step 6: Final answer
    x = 1,344.01

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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.