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Finding the Fourth Proportional to 2,356.54, 3,533.40 and 895.78

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Solution

The fourth proportional to 2,356.54, 3,533.40 and 895.78 is: 1,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.54 : 3,533.40 = 895.78 : x
  2. Step 2: Convert to fraction form
    2,356.54/3,533.40 = 895.78/x
  3. Step 3: Cross multiply
    2,356.54x = 3,533.40 × 895.78
  4. Step 4: Simplify right side
    2,356.54x = 3,165,149.05
  5. Step 5: Solve for x
    x = 3,165,149.05/2,356.54
  6. Step 6: Final answer
    x = 1,343.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.