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Finding the Fourth Proportional to 2,356.16, 3,534.24 and 894.97

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Solution

The fourth proportional to 2,356.16, 3,534.24 and 894.97 is: 1,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.16 : 3,534.24 = 894.97 : x
  2. Step 2: Convert to fraction form
    2,356.16/3,534.24 = 894.97/x
  3. Step 3: Cross multiply
    2,356.16x = 3,534.24 × 894.97
  4. Step 4: Simplify right side
    2,356.16x = 3,163,038.77
  5. Step 5: Solve for x
    x = 3,163,038.77/2,356.16
  6. Step 6: Final answer
    x = 1,342.46

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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.