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Finding the Fourth Proportional to 2,356.98, 3,534.99 and 895.62

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Solution

The fourth proportional to 2,356.98, 3,534.99 and 895.62 is: 1,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.98 : 3,534.99 = 895.62 : x
  2. Step 2: Convert to fraction form
    2,356.98/3,534.99 = 895.62/x
  3. Step 3: Cross multiply
    2,356.98x = 3,534.99 × 895.62
  4. Step 4: Simplify right side
    2,356.98x = 3,166,007.74
  5. Step 5: Solve for x
    x = 3,166,007.74/2,356.98
  6. Step 6: Final answer
    x = 1,343.25

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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.