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Finding the Fourth Proportional to 2,356.56, 3,533.92 and 895.36

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Solution

The fourth proportional to 2,356.56, 3,533.92 and 895.36 is: 1,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.56 : 3,533.92 = 895.36 : x
  2. Step 2: Convert to fraction form
    2,356.56/3,533.92 = 895.36/x
  3. Step 3: Cross multiply
    2,356.56x = 3,533.92 × 895.36
  4. Step 4: Simplify right side
    2,356.56x = 3,164,130.61
  5. Step 5: Solve for x
    x = 3,164,130.61/2,356.56
  6. Step 6: Final answer
    x = 1,342.69

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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.