Home / 2,296.16-3,444.80-835.20

Finding the Fourth Proportional to 2,296.16, 3,444.80 and 835.20

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Solution

The fourth proportional to 2,296.16, 3,444.80 and 835.20 is: 1,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.16 : 3,444.80 = 835.20 : x
  2. Step 2: Convert to fraction form
    2,296.16/3,444.80 = 835.20/x
  3. Step 3: Cross multiply
    2,296.16x = 3,444.80 × 835.20
  4. Step 4: Simplify right side
    2,296.16x = 2,877,096.96
  5. Step 5: Solve for x
    x = 2,877,096.96/2,296.16
  6. Step 6: Final answer
    x = 1,253.00

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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.