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Finding the Fourth Proportional to 3,303.16, 4,954.76 and 837.98

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Solution

The fourth proportional to 3,303.16, 4,954.76 and 837.98 is: 1,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.16 : 4,954.76 = 837.98 : x
  2. Step 2: Convert to fraction form
    3,303.16/4,954.76 = 837.98/x
  3. Step 3: Cross multiply
    3,303.16x = 4,954.76 × 837.98
  4. Step 4: Simplify right side
    3,303.16x = 4,151,989.78
  5. Step 5: Solve for x
    x = 4,151,989.78/3,303.16
  6. Step 6: Final answer
    x = 1,256.98

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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.