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Finding the Fourth Proportional to 2,535.12, 3,802.08 and 803.40

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Solution

The fourth proportional to 2,535.12, 3,802.08 and 803.40 is: 1,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.12 : 3,802.08 = 803.40 : x
  2. Step 2: Convert to fraction form
    2,535.12/3,802.08 = 803.40/x
  3. Step 3: Cross multiply
    2,535.12x = 3,802.08 × 803.40
  4. Step 4: Simplify right side
    2,535.12x = 3,054,591.07
  5. Step 5: Solve for x
    x = 3,054,591.07/2,535.12
  6. Step 6: Final answer
    x = 1,204.91

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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.