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Finding the Fourth Proportional to 2,356.16, 3,534.36 and 895.52

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Solution

The fourth proportional to 2,356.16, 3,534.36 and 895.52 is: 1,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.16 : 3,534.36 = 895.52 : x
  2. Step 2: Convert to fraction form
    2,356.16/3,534.36 = 895.52/x
  3. Step 3: Cross multiply
    2,356.16x = 3,534.36 × 895.52
  4. Step 4: Simplify right side
    2,356.16x = 3,165,090.07
  5. Step 5: Solve for x
    x = 3,165,090.07/2,356.16
  6. Step 6: Final answer
    x = 1,343.33

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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.